x+(3x+12)+(4x-8)=180

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Solution for x+(3x+12)+(4x-8)=180 equation:


Simplifying
x + (3x + 12) + (4x + -8) = 180

Reorder the terms:
x + (12 + 3x) + (4x + -8) = 180

Remove parenthesis around (12 + 3x)
x + 12 + 3x + (4x + -8) = 180

Reorder the terms:
x + 12 + 3x + (-8 + 4x) = 180

Remove parenthesis around (-8 + 4x)
x + 12 + 3x + -8 + 4x = 180

Reorder the terms:
12 + -8 + x + 3x + 4x = 180

Combine like terms: 12 + -8 = 4
4 + x + 3x + 4x = 180

Combine like terms: x + 3x = 4x
4 + 4x + 4x = 180

Combine like terms: 4x + 4x = 8x
4 + 8x = 180

Solving
4 + 8x = 180

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 8x = 180 + -4

Combine like terms: 4 + -4 = 0
0 + 8x = 180 + -4
8x = 180 + -4

Combine like terms: 180 + -4 = 176
8x = 176

Divide each side by '8'.
x = 22

Simplifying
x = 22

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