2(-x+3)=-3(-2x+22)

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Solution for 2(-x+3)=-3(-2x+22) equation:


Simplifying
2(-1x + 3) = -3(-2x + 22)

Reorder the terms:
2(3 + -1x) = -3(-2x + 22)
(3 * 2 + -1x * 2) = -3(-2x + 22)
(6 + -2x) = -3(-2x + 22)

Reorder the terms:
6 + -2x = -3(22 + -2x)
6 + -2x = (22 * -3 + -2x * -3)
6 + -2x = (-66 + 6x)

Solving
6 + -2x = -66 + 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.
6 + -2x + -6x = -66 + 6x + -6x

Combine like terms: -2x + -6x = -8x
6 + -8x = -66 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -8x = -66 + 0
6 + -8x = -66

Add '-6' to each side of the equation.
6 + -6 + -8x = -66 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = -66 + -6
-8x = -66 + -6

Combine like terms: -66 + -6 = -72
-8x = -72

Divide each side by '-8'.
x = 9

Simplifying
x = 9

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