2(2x-7)-2=2(x-5)+8

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Solution for 2(2x-7)-2=2(x-5)+8 equation: 


Simplifying
2(2x + -7) + -2 = 2(x + -5) + 8

Reorder the terms:
2(-7 + 2x) + -2 = 2(x + -5) + 8
(-7 * 2 + 2x * 2) + -2 = 2(x + -5) + 8
(-14 + 4x) + -2 = 2(x + -5) + 8

Reorder the terms:
-14 + -2 + 4x = 2(x + -5) + 8

Combine like terms: -14 + -2 = -16
-16 + 4x = 2(x + -5) + 8

Reorder the terms:
-16 + 4x = 2(-5 + x) + 8
-16 + 4x = (-5 * 2 + x * 2) + 8
-16 + 4x = (-10 + 2x) + 8

Reorder the terms:
-16 + 4x = -10 + 8 + 2x

Combine like terms: -10 + 8 = -2
-16 + 4x = -2 + 2x

Solving
-16 + 4x = -2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-16 + 4x + -2x = -2 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-16 + 2x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-16 + 2x = -2 + 0
-16 + 2x = -2

Add '16' to each side of the equation.
-16 + 16 + 2x = -2 + 16

Combine like terms: -16 + 16 = 0
0 + 2x = -2 + 16
2x = -2 + 16

Combine like terms: -2 + 16 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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