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

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


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

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

Reorder the terms:
6 + -3x = 2(-2 + x)
6 + -3x = (-2 * 2 + x * 2)
6 + -3x = (-4 + 2x)

Solving
6 + -3x = -4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + -3x + -2x = -4 + 2x + -2x

Combine like terms: -3x + -2x = -5x
6 + -5x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + -5x = -4 + 0
6 + -5x = -4

Add '-6' to each side of the equation.
6 + -6 + -5x = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = -4 + -6
-5x = -4 + -6

Combine like terms: -4 + -6 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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