(2)(2)2(x-6)=(3)3(x-6)

Solution for (2)(2)2(x-6)=(3)3(x-6) equation:

Simplifying
(2)(2) * 2(x + -6) = (3) * 3(x + -6)

Reorder the terms:
2 * 2 * 2(-6 + x) = (3) * 3(x + -6)

Multiply 2 * 2
4 * 2(-6 + x) = (3) * 3(x + -6)

Multiply 4 * 2
8(-6 + x) = (3) * 3(x + -6)
(-6 * 8 + x * 8) = (3) * 3(x + -6)
(-48 + 8x) = (3) * 3(x + -6)

Reorder the terms:
-48 + 8x = 3 * 3(-6 + x)

Multiply 3 * 3
-48 + 8x = 9(-6 + x)
-48 + 8x = (-6 * 9 + x * 9)
-48 + 8x = (-54 + 9x)

Solving
-48 + 8x = -54 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-48 + 8x + -9x = -54 + 9x + -9x

Combine like terms: 8x + -9x = -1x
-48 + -1x = -54 + 9x + -9x

Combine like terms: 9x + -9x = 0
-48 + -1x = -54 + 0
-48 + -1x = -54

Add '48' to each side of the equation.
-48 + 48 + -1x = -54 + 48

Combine like terms: -48 + 48 = 0
0 + -1x = -54 + 48
-1x = -54 + 48

Combine like terms: -54 + 48 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6