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

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


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

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

Reorder the terms:
-5 + 5x = 2(-5 + 2x) + 2
-5 + 5x = (-5 * 2 + 2x * 2) + 2
-5 + 5x = (-10 + 4x) + 2

Reorder the terms:
-5 + 5x = -10 + 2 + 4x

Combine like terms: -10 + 2 = -8
-5 + 5x = -8 + 4x

Solving
-5 + 5x = -8 + 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 = -8 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-5 + 1x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + 1x = -8 + 0
-5 + 1x = -8

Add '5' to each side of the equation.
-5 + 5 + 1x = -8 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = -8 + 5
1x = -8 + 5

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

Divide each side by '1'.
x = -3

Simplifying
x = -3

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