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

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


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

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

Combine like terms: 5 + 1 = 6
6 + -2x = 2(x + -1) + -8

Reorder the terms:
6 + -2x = 2(-1 + x) + -8
6 + -2x = (-1 * 2 + x * 2) + -8
6 + -2x = (-2 + 2x) + -8

Reorder the terms:
6 + -2x = -2 + -8 + 2x

Combine like terms: -2 + -8 = -10
6 + -2x = -10 + 2x

Solving
6 + -2x = -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.
6 + -2x + -2x = -10 + 2x + -2x

Combine like terms: -2x + -2x = -4x
6 + -4x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + -4x = -10 + 0
6 + -4x = -10

Add '-6' to each side of the equation.
6 + -6 + -4x = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = -10 + -6
-4x = -10 + -6

Combine like terms: -10 + -6 = -16
-4x = -16

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

Simplifying
x = 4

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