-(x-8)+3(x-1)=2(x-1)-(x-3)

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Solution for -(x-8)+3(x-1)=2(x-1)-(x-3) equation: 


Simplifying
-1(x + -8) + 3(x + -1) = 2(x + -1) + -1(x + -3)

Reorder the terms:
-1(-8 + x) + 3(x + -1) = 2(x + -1) + -1(x + -3)
(-8 * -1 + x * -1) + 3(x + -1) = 2(x + -1) + -1(x + -3)
(8 + -1x) + 3(x + -1) = 2(x + -1) + -1(x + -3)

Reorder the terms:
8 + -1x + 3(-1 + x) = 2(x + -1) + -1(x + -3)
8 + -1x + (-1 * 3 + x * 3) = 2(x + -1) + -1(x + -3)
8 + -1x + (-3 + 3x) = 2(x + -1) + -1(x + -3)

Reorder the terms:
8 + -3 + -1x + 3x = 2(x + -1) + -1(x + -3)

Combine like terms: 8 + -3 = 5
5 + -1x + 3x = 2(x + -1) + -1(x + -3)

Combine like terms: -1x + 3x = 2x
5 + 2x = 2(x + -1) + -1(x + -3)

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

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

Reorder the terms:
5 + 2x = -2 + 3 + 2x + -1x

Combine like terms: -2 + 3 = 1
5 + 2x = 1 + 2x + -1x

Combine like terms: 2x + -1x = 1x
5 + 2x = 1 + 1x

Solving
5 + 2x = 1 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
5 + 2x + -1x = 1 + 1x + -1x

Combine like terms: 2x + -1x = 1x
5 + 1x = 1 + 1x + -1x

Combine like terms: 1x + -1x = 0
5 + 1x = 1 + 0
5 + 1x = 1

Add '-5' to each side of the equation.
5 + -5 + 1x = 1 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = 1 + -5
1x = 1 + -5

Combine like terms: 1 + -5 = -4
1x = -4

Divide each side by '1'.
x = -4

Simplifying
x = -4

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