(4x+9)+(3x-12)+2x=180

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Solution for (4x+9)+(3x-12)+2x=180 equation:


Simplifying
(4x + 9) + (3x + -12) + 2x = 180

Reorder the terms:
(9 + 4x) + (3x + -12) + 2x = 180

Remove parenthesis around (9 + 4x)
9 + 4x + (3x + -12) + 2x = 180

Reorder the terms:
9 + 4x + (-12 + 3x) + 2x = 180

Remove parenthesis around (-12 + 3x)
9 + 4x + -12 + 3x + 2x = 180

Reorder the terms:
9 + -12 + 4x + 3x + 2x = 180

Combine like terms: 9 + -12 = -3
-3 + 4x + 3x + 2x = 180

Combine like terms: 4x + 3x = 7x
-3 + 7x + 2x = 180

Combine like terms: 7x + 2x = 9x
-3 + 9x = 180

Solving
-3 + 9x = 180

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 9x = 180 + 3

Combine like terms: -3 + 3 = 0
0 + 9x = 180 + 3
9x = 180 + 3

Combine like terms: 180 + 3 = 183
9x = 183

Divide each side by '9'.
x = 20.33333333

Simplifying
x = 20.33333333

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