2(x-4)=-(x+4)+8

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Solution for 2(x-4)=-(x+4)+8 equation:


Simplifying
2(x + -4) = -1(x + 4) + 8

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

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

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

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

Solving
-8 + 2x = 4 + -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.
-8 + 2x + x = 4 + -1x + x

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

Combine like terms: -1x + x = 0
-8 + 3x = 4 + 0
-8 + 3x = 4

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

Combine like terms: -8 + 8 = 0
0 + 3x = 4 + 8
3x = 4 + 8

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

Divide each side by '3'.
x = 4

Simplifying
x = 4

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