Solve for x.

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

x = - 27

x = - 27

Step-by-step explanation:

Simplifying

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

Reorder the terms:

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

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

(15 + 5x) = 4 (x + - 3)

Reorder the terms:

15 + 5x = 4 (-3 + x)

15 + 5x = (-3 * 4 + x * 4)

15 + 5x = (-12 + 4x)

Solving

15 + 5x = - 12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.

15 + 5x + - 4x = - 12 + 4x + - 4x

Combine like terms: 5x + - 4x = 1x

15 + 1x = - 12 + 4x + - 4x

Combine like terms: 4x + - 4x = 0

15 + 1x = - 12 + 0

15 + 1x = - 12

Add '-15' to each side of the equation.

15 + - 15 + 1x = - 12 + - 15

Combine like terms: 15 + - 15 = 0

0 + 1x = - 12 + - 15

1x = - 12 + - 15

Combine like terms: - 12 + - 15 = - 27

1x = - 27

Divide each side by '1'.