Solve the equation. Show your work.

4-2 (x+7) = 3 (x+5)

x=-5

Step-by-step explanation:

Simplifying

4 + - 2 (x + 7) = 3 (x + 5)

Reorder the terms:

4 + - 2 (7 + x) = 3 (x + 5)

4 + (7 * - 2 + x * - 2) = 3 (x + 5)

4 + (-14 + - 2x) = 3 (x + 5)

Combine like terms: 4 + - 14 = - 10

-10 + - 2x = 3 (x + 5)

Reorder the terms:

-10 + - 2x = 3 (5 + x)

-10 + - 2x = (5 * 3 + x * 3)

-10 + - 2x = (15 + 3x)

Solving

-10 + - 2x = 15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.

-10 + - 2x + - 3x = 15 + 3x + - 3x

Combine like terms: - 2x + - 3x = - 5x

-10 + - 5x = 15 + 3x + - 3x

Combine like terms: 3x + - 3x = 0

-10 + - 5x = 15 + 0

-10 + - 5x = 15

Add '10' to each side of the equation.

-10 + 10 + - 5x = 15 + 10

Combine like terms: - 10 + 10 = 0

0 + - 5x = 15 + 10

-5x = 15 + 10

Combine like terms: 15 + 10 = 25

-5x = 25

Divide each side by '-5'.

x = - 5

Simplifying

x = - 5