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

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


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

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

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

Combine like terms: 6 + 6 = 12
12 + -3x = 2(3x + -3)

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

Solving
12 + -3x = -6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
12 + -3x + -6x = -6 + 6x + -6x

Combine like terms: -3x + -6x = -9x
12 + -9x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
12 + -9x = -6 + 0
12 + -9x = -6

Add '-12' to each side of the equation.
12 + -12 + -9x = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -9x = -6 + -12
-9x = -6 + -12

Combine like terms: -6 + -12 = -18
-9x = -18

Divide each side by '-9'.
x = 2

Simplifying
x = 2

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