-12(x-(9))=3(x+16)

Solution for -12(x-(9))=3(x+16) equation:

Simplifying
-12(x + -1(9)) = 3(x + 16)

Multiply -1 * 9
-12(x + -9) = 3(x + 16)

Reorder the terms:
-12(-9 + x) = 3(x + 16)
(-9 * -12 + x * -12) = 3(x + 16)
(108 + -12x) = 3(x + 16)

Reorder the terms:
108 + -12x = 3(16 + x)
108 + -12x = (16 * 3 + x * 3)
108 + -12x = (48 + 3x)

Solving
108 + -12x = 48 + 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.
108 + -12x + -3x = 48 + 3x + -3x

Combine like terms: -12x + -3x = -15x
108 + -15x = 48 + 3x + -3x

Combine like terms: 3x + -3x = 0
108 + -15x = 48 + 0
108 + -15x = 48

Add '-108' to each side of the equation.
108 + -108 + -15x = 48 + -108

Combine like terms: 108 + -108 = 0
0 + -15x = 48 + -108
-15x = 48 + -108

Combine like terms: 48 + -108 = -60
-15x = -60

Divide each side by '-15'.
x = 4

Simplifying
x = 4