2(x+2)+(x-6)=2(x-5)+2x

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Solution for 2(x+2)+(x-6)=2(x-5)+2x equation:


Simplifying
2(x + 2) + (x + -6) = 2(x + -5) + 2x

Reorder the terms:
2(2 + x) + (x + -6) = 2(x + -5) + 2x
(2 * 2 + x * 2) + (x + -6) = 2(x + -5) + 2x
(4 + 2x) + (x + -6) = 2(x + -5) + 2x

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

Remove parenthesis around (-6 + x)
4 + 2x + -6 + x = 2(x + -5) + 2x

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

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

Combine like terms: 2x + x = 3x
-2 + 3x = 2(x + -5) + 2x

Reorder the terms:
-2 + 3x = 2(-5 + x) + 2x
-2 + 3x = (-5 * 2 + x * 2) + 2x
-2 + 3x = (-10 + 2x) + 2x

Combine like terms: 2x + 2x = 4x
-2 + 3x = -10 + 4x

Solving
-2 + 3x = -10 + 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.
-2 + 3x + -4x = -10 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-2 + -1x = -10 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2 + -1x = -10 + 0
-2 + -1x = -10

Add '2' to each side of the equation.
-2 + 2 + -1x = -10 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = -10 + 2
-1x = -10 + 2

Combine like terms: -10 + 2 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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