(3x+4)+(8x-28)=108

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Solution for (3x+4)+(8x-28)=108 equation:


Simplifying
(3x + 4) + (8x + -28) = 108

Reorder the terms:
(4 + 3x) + (8x + -28) = 108

Remove parenthesis around (4 + 3x)
4 + 3x + (8x + -28) = 108

Reorder the terms:
4 + 3x + (-28 + 8x) = 108

Remove parenthesis around (-28 + 8x)
4 + 3x + -28 + 8x = 108

Reorder the terms:
4 + -28 + 3x + 8x = 108

Combine like terms: 4 + -28 = -24
-24 + 3x + 8x = 108

Combine like terms: 3x + 8x = 11x
-24 + 11x = 108

Solving
-24 + 11x = 108

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + 11x = 108 + 24

Combine like terms: -24 + 24 = 0
0 + 11x = 108 + 24
11x = 108 + 24

Combine like terms: 108 + 24 = 132
11x = 132

Divide each side by '11'.
x = 12

Simplifying
x = 12

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