4-x-7(2x-1)+2(1-x)=7x-2(x-12)

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Solution for 4-x-7(2x-1)+2(1-x)=7x-2(x-12) equation: 


Simplifying
4 + -1x + -7(2x + -1) + 2(1 + -1x) = 7x + -2(x + -12)

Reorder the terms:
4 + -1x + -7(-1 + 2x) + 2(1 + -1x) = 7x + -2(x + -12)
4 + -1x + (-1 * -7 + 2x * -7) + 2(1 + -1x) = 7x + -2(x + -12)
4 + -1x + (7 + -14x) + 2(1 + -1x) = 7x + -2(x + -12)
4 + -1x + 7 + -14x + (1 * 2 + -1x * 2) = 7x + -2(x + -12)
4 + -1x + 7 + -14x + (2 + -2x) = 7x + -2(x + -12)

Reorder the terms:
4 + 7 + 2 + -1x + -14x + -2x = 7x + -2(x + -12)

Combine like terms: 4 + 7 = 11
11 + 2 + -1x + -14x + -2x = 7x + -2(x + -12)

Combine like terms: 11 + 2 = 13
13 + -1x + -14x + -2x = 7x + -2(x + -12)

Combine like terms: -1x + -14x = -15x
13 + -15x + -2x = 7x + -2(x + -12)

Combine like terms: -15x + -2x = -17x
13 + -17x = 7x + -2(x + -12)

Reorder the terms:
13 + -17x = 7x + -2(-12 + x)
13 + -17x = 7x + (-12 * -2 + x * -2)
13 + -17x = 7x + (24 + -2x)

Reorder the terms:
13 + -17x = 24 + 7x + -2x

Combine like terms: 7x + -2x = 5x
13 + -17x = 24 + 5x

Solving
13 + -17x = 24 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
13 + -17x + -5x = 24 + 5x + -5x

Combine like terms: -17x + -5x = -22x
13 + -22x = 24 + 5x + -5x

Combine like terms: 5x + -5x = 0
13 + -22x = 24 + 0
13 + -22x = 24

Add '-13' to each side of the equation.
13 + -13 + -22x = 24 + -13

Combine like terms: 13 + -13 = 0
0 + -22x = 24 + -13
-22x = 24 + -13

Combine like terms: 24 + -13 = 11
-22x = 11

Divide each side by '-22'.
x = -0.5

Simplifying
x = -0.5

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