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

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


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

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

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

Solving
2 + -2x = -18 + -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.
2 + -2x + 6x = -18 + -6x + 6x

Combine like terms: -2x + 6x = 4x
2 + 4x = -18 + -6x + 6x

Combine like terms: -6x + 6x = 0
2 + 4x = -18 + 0
2 + 4x = -18

Add '-2' to each side of the equation.
2 + -2 + 4x = -18 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = -18 + -2
4x = -18 + -2

Combine like terms: -18 + -2 = -20
4x = -20

Divide each side by '4'.
x = -5

Simplifying
x = -5

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