2(2x-5)+2(x+1)=x+5+2x+4+2x-4

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Solution for 2(2x-5)+2(x+1)=x+5+2x+4+2x-4 equation: 


Simplifying
2(2x + -5) + 2(x + 1) = x + 5 + 2x + 4 + 2x + -4

Reorder the terms:
2(-5 + 2x) + 2(x + 1) = x + 5 + 2x + 4 + 2x + -4
(-5 * 2 + 2x * 2) + 2(x + 1) = x + 5 + 2x + 4 + 2x + -4
(-10 + 4x) + 2(x + 1) = x + 5 + 2x + 4 + 2x + -4

Reorder the terms:
-10 + 4x + 2(1 + x) = x + 5 + 2x + 4 + 2x + -4
-10 + 4x + (1 * 2 + x * 2) = x + 5 + 2x + 4 + 2x + -4
-10 + 4x + (2 + 2x) = x + 5 + 2x + 4 + 2x + -4

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

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

Combine like terms: 4x + 2x = 6x
-8 + 6x = x + 5 + 2x + 4 + 2x + -4

Reorder the terms:
-8 + 6x = 5 + 4 + -4 + x + 2x + 2x

Combine like terms: 5 + 4 = 9
-8 + 6x = 9 + -4 + x + 2x + 2x

Combine like terms: 9 + -4 = 5
-8 + 6x = 5 + x + 2x + 2x

Combine like terms: x + 2x = 3x
-8 + 6x = 5 + 3x + 2x

Combine like terms: 3x + 2x = 5x
-8 + 6x = 5 + 5x

Solving
-8 + 6x = 5 + 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.
-8 + 6x + -5x = 5 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-8 + 1x = 5 + 5x + -5x

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

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

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

Combine like terms: 5 + 8 = 13
1x = 13

Divide each side by '1'.
x = 13

Simplifying
x = 13

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