-12(x-6)=33(x+64)

Solution for -12(x-6)=33(x+64) equation:

Simplifying
-12(x + -6) = 33(x + 64)

Reorder the terms:
-12(-6 + x) = 33(x + 64)
(-6 * -12 + x * -12) = 33(x + 64)
(72 + -12x) = 33(x + 64)

Reorder the terms:
72 + -12x = 33(64 + x)
72 + -12x = (64 * 33 + x * 33)
72 + -12x = (2112 + 33x)

Solving
72 + -12x = 2112 + 33x

Solving for variable 'x'.

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

Add '-33x' to each side of the equation.
72 + -12x + -33x = 2112 + 33x + -33x

Combine like terms: -12x + -33x = -45x
72 + -45x = 2112 + 33x + -33x

Combine like terms: 33x + -33x = 0
72 + -45x = 2112 + 0
72 + -45x = 2112

Add '-72' to each side of the equation.
72 + -72 + -45x = 2112 + -72

Combine like terms: 72 + -72 = 0
0 + -45x = 2112 + -72
-45x = 2112 + -72

Combine like terms: 2112 + -72 = 2040
-45x = 2040

Divide each side by '-45'.
x = -45.33333333

Simplifying
x = -45.33333333