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

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


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

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

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

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

Combine like terms: -5 + -8 = -13
2 + 2x = -13 + 5x

Solving
2 + 2x = -13 + 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.
2 + 2x + -5x = -13 + 5x + -5x

Combine like terms: 2x + -5x = -3x
2 + -3x = -13 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + -3x = -13 + 0
2 + -3x = -13

Add '-2' to each side of the equation.
2 + -2 + -3x = -13 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = -13 + -2
-3x = -13 + -2

Combine like terms: -13 + -2 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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