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

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


Simplifying
2[2x + -1(3x + -6)] = 3(x + -6)

Reorder the terms:
2[2x + -1(-6 + 3x)] = 3(x + -6)
2[2x + (-6 * -1 + 3x * -1)] = 3(x + -6)
2[2x + (6 + -3x)] = 3(x + -6)

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

Combine like terms: 2x + -3x = -1x
2[6 + -1x] = 3(x + -6)
[6 * 2 + -1x * 2] = 3(x + -6)
[12 + -2x] = 3(x + -6)

Reorder the terms:
12 + -2x = 3(-6 + x)
12 + -2x = (-6 * 3 + x * 3)
12 + -2x = (-18 + 3x)

Solving
12 + -2x = -18 + 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.
12 + -2x + -3x = -18 + 3x + -3x

Combine like terms: -2x + -3x = -5x
12 + -5x = -18 + 3x + -3x

Combine like terms: 3x + -3x = 0
12 + -5x = -18 + 0
12 + -5x = -18

Add '-12' to each side of the equation.
12 + -12 + -5x = -18 + -12

Combine like terms: 12 + -12 = 0
0 + -5x = -18 + -12
-5x = -18 + -12

Combine like terms: -18 + -12 = -30
-5x = -30

Divide each side by '-5'.
x = 6

Simplifying
x = 6

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