Liam is solving the equation 7x+6(x+3)=83. His steps are shown below. What mistake did Liam make while solving?

Answer 1

Liam made a mistake while solving the equation. The mistake is that he distributed the 6 to only one part of the expression, the x part, but not to the 3.

Answer 2

Liam is solving the equation 7x+6(x+3)=83

. His steps are shown below. What mistake did Liam make while solving?

7x+6(x+3)=83

7x+6x+3=83

13x+3=83

13x+3−3=83−3

13x=80

13x/13=80/13

x=6 2/13

Answer 3

Liam did not make a mistake while solving the equation. He correctly simplified the expression and solved for x.

Answer 4

Put the steps of solving the equation for x in order from the first step through finding the value of x

.

4−2x=−5(x+7)

Answer 5

Here are the steps of solving the equation:

1. Distribute the -5 on the right side: 4 - 2x = -5x - 35.
2. Move all the variables terms to one side of the equation: -2x + 5x = -35 - 4.
3. Combine like terms: 3x = -39.
4. Divide both sides by 3 to solve for x: x = -39/3.
5. Simplify the right side: x = -13.

Answer 6

Solve for x

.

3x−21=14−4x

Answer 7

Here are the steps to solve for x:

1. Start with the given equation: 3x - 21 = 14 - 4x.
2. Add 4x to both sides to move -4x to the left side: 3x + 4x - 21 = 14.
3. Combine like terms: 7x - 21 = 14.
4. Add 21 to both sides to isolate the variable term: 7x - 21 + 21 = 14 + 21.
5. Simplify both sides: 7x = 35.
6. Divide both sides by 7 to solve for x: x = 35/7.
7. Simplify the right side: x = 5.

Therefore, the solution for x is 5.