12-(3x-17)-12x=-(4x+10-2x)

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Solution for 12-(3x-17)-12x=-(4x+10-2x) equation:


Simplifying
12 + -1(3x + -17) + -12x = -1(4x + 10 + -2x)

Reorder the terms:
12 + -1(-17 + 3x) + -12x = -1(4x + 10 + -2x)
12 + (-17 * -1 + 3x * -1) + -12x = -1(4x + 10 + -2x)
12 + (17 + -3x) + -12x = -1(4x + 10 + -2x)

Combine like terms: 12 + 17 = 29
29 + -3x + -12x = -1(4x + 10 + -2x)

Combine like terms: -3x + -12x = -15x
29 + -15x = -1(4x + 10 + -2x)

Reorder the terms:
29 + -15x = -1(10 + 4x + -2x)

Combine like terms: 4x + -2x = 2x
29 + -15x = -1(10 + 2x)
29 + -15x = (10 * -1 + 2x * -1)
29 + -15x = (-10 + -2x)

Solving
29 + -15x = -10 + -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.
29 + -15x + 2x = -10 + -2x + 2x

Combine like terms: -15x + 2x = -13x
29 + -13x = -10 + -2x + 2x

Combine like terms: -2x + 2x = 0
29 + -13x = -10 + 0
29 + -13x = -10

Add '-29' to each side of the equation.
29 + -29 + -13x = -10 + -29

Combine like terms: 29 + -29 = 0
0 + -13x = -10 + -29
-13x = -10 + -29

Combine like terms: -10 + -29 = -39
-13x = -39

Divide each side by '-13'.
x = 3

Simplifying
x = 3

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