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

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


Simplifying
x + 2(x + -2) = 8 + -1x

Reorder the terms:
x + 2(-2 + x) = 8 + -1x
x + (-2 * 2 + x * 2) = 8 + -1x
x + (-4 + 2x) = 8 + -1x

Reorder the terms:
-4 + x + 2x = 8 + -1x

Combine like terms: x + 2x = 3x
-4 + 3x = 8 + -1x

Solving
-4 + 3x = 8 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-4 + 3x + x = 8 + -1x + x

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

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

Add '4' to each side of the equation.
-4 + 4 + 4x = 8 + 4

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

Combine like terms: 8 + 4 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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