-3(x-2)+5=-(x-12)

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Solution for -3(x-2)+5=-(x-12) equation: 


Simplifying
-3(x + -2) + 5 = -1(x + -12)

Reorder the terms:
-3(-2 + x) + 5 = -1(x + -12)
(-2 * -3 + x * -3) + 5 = -1(x + -12)
(6 + -3x) + 5 = -1(x + -12)

Reorder the terms:
6 + 5 + -3x = -1(x + -12)

Combine like terms: 6 + 5 = 11
11 + -3x = -1(x + -12)

Reorder the terms:
11 + -3x = -1(-12 + x)
11 + -3x = (-12 * -1 + x * -1)
11 + -3x = (12 + -1x)

Solving
11 + -3x = 12 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
11 + -3x + x = 12 + -1x + x

Combine like terms: -3x + x = -2x
11 + -2x = 12 + -1x + x

Combine like terms: -1x + x = 0
11 + -2x = 12 + 0
11 + -2x = 12

Add '-11' to each side of the equation.
11 + -11 + -2x = 12 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = 12 + -11
-2x = 12 + -11

Combine like terms: 12 + -11 = 1
-2x = 1

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

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