5x-2(x-1)+6=2x+5(1-x)

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Solution for 5x-2(x-1)+6=2x+5(1-x) equation:


Simplifying
5x + -2(x + -1) + 6 = 2x + 5(1 + -1x)

Reorder the terms:
5x + -2(-1 + x) + 6 = 2x + 5(1 + -1x)
5x + (-1 * -2 + x * -2) + 6 = 2x + 5(1 + -1x)
5x + (2 + -2x) + 6 = 2x + 5(1 + -1x)

Reorder the terms:
2 + 6 + 5x + -2x = 2x + 5(1 + -1x)

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

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

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

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

Solving
8 + 3x = 5 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
8 + 3x + 3x = 5 + -3x + 3x

Combine like terms: 3x + 3x = 6x
8 + 6x = 5 + -3x + 3x

Combine like terms: -3x + 3x = 0
8 + 6x = 5 + 0
8 + 6x = 5

Add '-8' to each side of the equation.
8 + -8 + 6x = 5 + -8

Combine like terms: 8 + -8 = 0
0 + 6x = 5 + -8
6x = 5 + -8

Combine like terms: 5 + -8 = -3
6x = -3

Divide each side by '6'.
x = -0.5

Simplifying
x = -0.5

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