2(x-4)+x=2(6+2x)

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Solution for 2(x-4)+x=2(6+2x) equation:


Simplifying
2(x + -4) + x = 2(6 + 2x)

Reorder the terms:
2(-4 + x) + x = 2(6 + 2x)
(-4 * 2 + x * 2) + x = 2(6 + 2x)
(-8 + 2x) + x = 2(6 + 2x)

Combine like terms: 2x + x = 3x
-8 + 3x = 2(6 + 2x)
-8 + 3x = (6 * 2 + 2x * 2)
-8 + 3x = (12 + 4x)

Solving
-8 + 3x = 12 + 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 + 3x + -4x = 12 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-8 + -1x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-8 + -1x = 12 + 0
-8 + -1x = 12

Add '8' to each side of the equation.
-8 + 8 + -1x = 12 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 12 + 8
-1x = 12 + 8

Combine like terms: 12 + 8 = 20
-1x = 20

Divide each side by '-1'.
x = -20

Simplifying
x = -20

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