Question

Show your work 4(2x - 6) = 10x - 6

Answer 1

Answer: x = -9

Step-by-step explanation:

Simplifying

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

Reorder the terms:

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

(-6 * 4 + 2x * 4) = 10x + -6

(-24 + 8x) = 10x + -6

Reorder the terms:

-24 + 8x = -6 + 10x

Solve

-24 + 8x = -6 + 10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10x' to each side of the equation.

-24 + 8x + -10x = -6 + 10x + -10x

Combine like terms: 8x + -10x = -2x

-24 + -2x = -6 + 10x + -10x

Combine like terms: 10x + -10x = 0

-24 + -2x = -6 + 0

-24 + -2x = -6

Add '24' to each side of the equation.

-24 + 24 + -2x = -6 + 24

Combine like terms: -24 + 24 = 0

0 + -2x = -6 + 24

-2x = -6 + 24

Combine like terms: -6 + 24 = 18

-2x = 18

Divide each side by '-2'.

x = -9

Simplifying

x = -9

Answer: x = -9

Answer 2

4.(2x - 6) = 10x - 6

4.2x - 4.6 = 10x - 6

8x - 24 = 10x - 6

-24 + 6 = 10x - 8x

-18 = 2x

x = -9