(x-4)+(8+x)=x+12

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Solution for (x-4)+(8+x)=x+12 equation:


Simplifying
(x + -4) + (8 + x) = x + 12

Reorder the terms:
(-4 + x) + (8 + x) = x + 12

Remove parenthesis around (-4 + x)
-4 + x + (8 + x) = x + 12

Remove parenthesis around (8 + x)
-4 + x + 8 + x = x + 12

Reorder the terms:
-4 + 8 + x + x = x + 12

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

Combine like terms: x + x = 2x
4 + 2x = x + 12

Reorder the terms:
4 + 2x = 12 + x

Solving
4 + 2x = 12 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
4 + 2x + -1x = 12 + x + -1x

Combine like terms: 2x + -1x = 1x
4 + 1x = 12 + x + -1x

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

Add '-4' to each side of the equation.
4 + -4 + 1x = 12 + -4

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

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

Divide each side by '1'.
x = 8

Simplifying
x = 8

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