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

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


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

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

Reorder the terms:
-8 + 5x = 2(5 + 2x) + -2
-8 + 5x = (5 * 2 + 2x * 2) + -2
-8 + 5x = (10 + 4x) + -2

Reorder the terms:
-8 + 5x = 10 + -2 + 4x

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

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

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

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

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

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

Combine like terms: 8 + 8 = 16
1x = 16

Divide each side by '1'.
x = 16

Simplifying
x = 16

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