(3x-4)+(5x-20)+4x=180

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Solution for (3x-4)+(5x-20)+4x=180 equation:


Simplifying
(3x + -4) + (5x + -20) + 4x = 180

Reorder the terms:
(-4 + 3x) + (5x + -20) + 4x = 180

Remove parenthesis around (-4 + 3x)
-4 + 3x + (5x + -20) + 4x = 180

Reorder the terms:
-4 + 3x + (-20 + 5x) + 4x = 180

Remove parenthesis around (-20 + 5x)
-4 + 3x + -20 + 5x + 4x = 180

Reorder the terms:
-4 + -20 + 3x + 5x + 4x = 180

Combine like terms: -4 + -20 = -24
-24 + 3x + 5x + 4x = 180

Combine like terms: 3x + 5x = 8x
-24 + 8x + 4x = 180

Combine like terms: 8x + 4x = 12x
-24 + 12x = 180

Solving
-24 + 12x = 180

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 + 12x = 180 + 24

Combine like terms: -24 + 24 = 0
0 + 12x = 180 + 24
12x = 180 + 24

Combine like terms: 180 + 24 = 204
12x = 204

Divide each side by '12'.
x = 17

Simplifying
x = 17

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