Answer:
x = -27
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'.