Question

Solve the equation: 2(3x + 1) = 10 - 4x.

Answer 1

Expanding the left-hand side:

2(3x + 1) = 6x + 2

Now we can rewrite the equation as:

6x + 2 = 10 - 4x

Adding 4x to both sides:

10x + 2 = 10

Subtracting 2 from both sides:

10x = 8

Dividing both sides by 10:

x = 0.8

Therefore, the solution to the equation is x = 0.8.

Answer 2

To solve the equation 2(3x + 1) = 10 - 4x, we'll simplify and solve for x.

First, distribute 2 to both terms inside the parentheses:

6x + 2 = 10 - 4x

Next, combine like terms by adding 4x to both sides:

6x + 4x + 2 = 10 - 4x + 4x

10x + 2 = 10

Then, subtract 2 from both sides to isolate the variable:

10x + 2 - 2 = 10 - 2

10x = 8

Finally, divide both sides by 10 to solve for x:

10x/10 = 8/10

x = 0.8

Therefore, the solution to the equation is x = 0.8.

Answer 3

To solve the equation 2(3x + 1) = 10 - 4x, we can start by distributing the 2 on the left side:

6x + 2 = 10 - 4x

Next, we can gather the x terms on one side of the equation and the constant terms on the other side:

6x + 4x = 10 - 2

Combining like terms:

10x = 8

Now, we can isolate x by dividing both sides of the equation by 10:

x = 8/10

Simplifying the fraction:

x = 4/5

Therefore, the solution to the equation 2(3x + 1) = 10 - 4x is x = 4/5.

Answer 4

The solution to the equation 2(3x + 1) = 10 - 4x is x = 1.

To solve for x, we first distribute the 2 on the left side of the equation:

6x + 2 = 10 - 4x

Next, we add 4x and subtract 2 from both sides of the equation:

6x + 2 + 4x - 2 = 10 - 4x + 4x - 2

10x = 8

Finally, we divide both sides by 10:

x = 8/10

x = 4/5

Therefore, the solution to the equation is x = 1.

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Answer 5

In equation 2 (3x +1) =10 -4x 

We can rewrite as

2 ×3x + 1 × 2 = 10 - 4x

Or, 6x + 2 = 10 - 4x

Or, 6x + 4x + 2 = 10

Or, 10x + 2 = 10

Or, 10x = 10 - 2

Or, 10x = 8

Or, X =8/10 

So, X = 4/5 or 0.8

Answer 6

We can solve the given equation as follows 

 We have 2(3x+1) = 10-4x

    Here   2(3x+1)= 6x +2 by distributive property 

Accordingly the equation becomes 

6x+2 = 10-4x  ,now we  collect like terms by bringing 4x to the left side of equality sign and 2 to the right side of the equality sign and we know that the sign of any term in an equation changes from positive to negative or from negative to positive due changes of its place from one side of equality sign to opposite side of equality sign.

Thus the equation is simplified to 6x+4x =10-2

                                                           10x =8

Dividing both side by 10 we get x= 8/10 

Therefore the value of x becomes x=8/10 = 4/5 = 0.8

Answer 7

To solve the equation 2(3x + 1) = 10 - 4x, follow these steps:

1. Distribute the 2 on the left side of the equation to both terms inside the parentheses:

6x + 2 = 10 - 4x

2. Add 4x to both sides of the equation to move the variable terms to one side:

6x + 4x + 2 = 10 - 4x + 4x

This simplifies to:

10x + 2 = 10

3. Now, subtract 2 from both sides to isolate the term with x:

10x + 2 - 2 = 10 - 2

This simplifies to:

10x = 8

4. Finally, divide both sides by 10 to solve for x:

(10x) / 10 = 8 / 10

x = 4/5

So, the solution to the equation is x = 4/5.

Answer 8

There is real root. There is imaginary roots. So this question has no real answer. There is no need even thow here is imaginary roots x=0.8so that's it.

Answer 9

2(3x+1)=10-4x 

6x + 2 = 10 - 4x 

Combine like the terms by adding 4x to both sides 

6x + 4x + 2 

10x + 2 = 10 

Now subtract 2 from both sides 

10x + 2 - 2 = 10 - 2 

10x = 8 

X = 8/10 

X = 4/5

Answer 10

Solve the equation: 2( 3x+1)=10-4x?

6x+2 = 10-4x

6x + 4x = 10-2

10x = 8

10x/10 = 8/10

x=8/10

x =4/5

To solve this problem, we use ( BODMAS). We deal with what in the bracket first (B).

2(3x+1) = 6x+2 , then the whole problem now

6x + 2 = 10-4x

Now , we group like terms together i.e x goes together and consonants go together.

* When the signs i.e + or - are crossing the equal sign to either side respectively, mathematically, that sign changes.

6x + 4x = 10-2

10x=8

10x/10=8/10

x=4/5

Answer 11

To solve the equation 2(3x +1)=10-4x, distribute the 2 on the left side:

6x + 2 = 10 -4x

Combine like terms:

10x + 2 = 10

Subtract 2 from both sides:

10x = 8

Divide by 10:

x = 0.8

Therefore, the solution to the equation is x=0.8.

Answer 12

To solve the equation \(2(3x + 1) = 10 - 4x\), follow these steps:

1. Distribute the 2 on the left side of the equation:

\[2 \times 3x + 2 \times 1 = 10 - 4x\]

\[6x + 2 = 10 - 4x\]

2. Combine like terms on both sides of the equation:

\[6x + 4x + 2 = 10\]

3. Add or subtract terms to isolate the variable terms on one side of the equation and the constant terms on the other side:

\[6x + 4x + 2 - 2 = 10 - 2\]

\[10x = 8\]

4. Divide both sides by the coefficient of the variable:

\[10x/10 = 8/10\]

\[x = 0.8\]

So, the solution to the equation is \(x = 0.8\).