Question

What is the value of x in the equation ? 13x - 2(8+5x) = 12 - 11x

Answer 1

x = 2

Explanation:

13x - 2(8 + 5x) = 12-11x

Distribute

13x -16 - 10x = 12 - 11x

Combine like terms

3x - 16 = 12 - 11x

Addition property of equality

3x = 28 - 11x

Addition property of equality

14x = 28

Divison property of equality

x = 2

Answer 2

x=2

Explanation:

13x - 2(8+5x) = 12 - 11x

The first step is to distribute the -2

13x -2*8 -2*5x = 12-11x

13x -16-10x = 12-11x

Combine like terms

3x-16 = 12-11x

Add 11x to each side

3x+11x -16 = 12-11x+11x

14x-16 = 12

Add 16 to each side

14x-16+16 = 12+16

14x=28

Divide by 14

14x/14 =28/14

x =2