(4x+8)+(x+12)=6x-8

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Solution for (4x+8)+(x+12)=6x-8 equation:


Simplifying
(4x + 8) + (x + 12) = 6x + -8

Reorder the terms:
(8 + 4x) + (x + 12) = 6x + -8

Remove parenthesis around (8 + 4x)
8 + 4x + (x + 12) = 6x + -8

Reorder the terms:
8 + 4x + (12 + x) = 6x + -8

Remove parenthesis around (12 + x)
8 + 4x + 12 + x = 6x + -8

Reorder the terms:
8 + 12 + 4x + x = 6x + -8

Combine like terms: 8 + 12 = 20
20 + 4x + x = 6x + -8

Combine like terms: 4x + x = 5x
20 + 5x = 6x + -8

Reorder the terms:
20 + 5x = -8 + 6x

Solving
20 + 5x = -8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
20 + 5x + -6x = -8 + 6x + -6x

Combine like terms: 5x + -6x = -1x
20 + -1x = -8 + 6x + -6x

Combine like terms: 6x + -6x = 0
20 + -1x = -8 + 0
20 + -1x = -8

Add '-20' to each side of the equation.
20 + -20 + -1x = -8 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = -8 + -20
-1x = -8 + -20

Combine like terms: -8 + -20 = -28
-1x = -28

Divide each side by '-1'.
x = 28

Simplifying
x = 28

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