-(x-2)+10=-3(x-2)

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Solution for -(x-2)+10=-3(x-2) equation:


Simplifying
-1(x + -2) + 10 = -3(x + -2)

Reorder the terms:
-1(-2 + x) + 10 = -3(x + -2)
(-2 * -1 + x * -1) + 10 = -3(x + -2)
(2 + -1x) + 10 = -3(x + -2)

Reorder the terms:
2 + 10 + -1x = -3(x + -2)

Combine like terms: 2 + 10 = 12
12 + -1x = -3(x + -2)

Reorder the terms:
12 + -1x = -3(-2 + x)
12 + -1x = (-2 * -3 + x * -3)
12 + -1x = (6 + -3x)

Solving
12 + -1x = 6 + -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 + -1x + 3x = 6 + -3x + 3x

Combine like terms: -1x + 3x = 2x
12 + 2x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
12 + 2x = 6 + 0
12 + 2x = 6

Add '-12' to each side of the equation.
12 + -12 + 2x = 6 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = 6 + -12
2x = 6 + -12

Combine like terms: 6 + -12 = -6
2x = -6

Divide each side by '2'.
x = -3

Simplifying
x = -3

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