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

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


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

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

Reorder the terms:
5 + 5x = 2(-1 + 2x) + -2
5 + 5x = (-1 * 2 + 2x * 2) + -2
5 + 5x = (-2 + 4x) + -2

Reorder the terms:
5 + 5x = -2 + -2 + 4x

Combine like terms: -2 + -2 = -4
5 + 5x = -4 + 4x

Solving
5 + 5x = -4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
5 + 5x + -4x = -4 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
5 + 1x = -4 + 0
5 + 1x = -4

Add '-5' to each side of the equation.
5 + -5 + 1x = -4 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = -4 + -5
1x = -4 + -5

Combine like terms: -4 + -5 = -9
1x = -9

Divide each side by '1'.
x = -9

Simplifying
x = -9

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