1-3x-2(x-1)=5(1-2x)+8

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Solution for 1-3x-2(x-1)=5(1-2x)+8 equation: 


Simplifying
1 + -3x + -2(x + -1) = 5(1 + -2x) + 8

Reorder the terms:
1 + -3x + -2(-1 + x) = 5(1 + -2x) + 8
1 + -3x + (-1 * -2 + x * -2) = 5(1 + -2x) + 8
1 + -3x + (2 + -2x) = 5(1 + -2x) + 8

Reorder the terms:
1 + 2 + -3x + -2x = 5(1 + -2x) + 8

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

Combine like terms: -3x + -2x = -5x
3 + -5x = 5(1 + -2x) + 8
3 + -5x = (1 * 5 + -2x * 5) + 8
3 + -5x = (5 + -10x) + 8

Reorder the terms:
3 + -5x = 5 + 8 + -10x

Combine like terms: 5 + 8 = 13
3 + -5x = 13 + -10x

Solving
3 + -5x = 13 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
3 + -5x + 10x = 13 + -10x + 10x

Combine like terms: -5x + 10x = 5x
3 + 5x = 13 + -10x + 10x

Combine like terms: -10x + 10x = 0
3 + 5x = 13 + 0
3 + 5x = 13

Add '-3' to each side of the equation.
3 + -3 + 5x = 13 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 13 + -3
5x = 13 + -3

Combine like terms: 13 + -3 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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