(4x-3)+(6x+3)+(9x+12)=180

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Solution for (4x-3)+(6x+3)+(9x+12)=180 equation:


Simplifying
(4x + -3) + (6x + 3) + (9x + 12) = 180

Reorder the terms:
(-3 + 4x) + (6x + 3) + (9x + 12) = 180

Remove parenthesis around (-3 + 4x)
-3 + 4x + (6x + 3) + (9x + 12) = 180

Reorder the terms:
-3 + 4x + (3 + 6x) + (9x + 12) = 180

Remove parenthesis around (3 + 6x)
-3 + 4x + 3 + 6x + (9x + 12) = 180

Reorder the terms:
-3 + 4x + 3 + 6x + (12 + 9x) = 180

Remove parenthesis around (12 + 9x)
-3 + 4x + 3 + 6x + 12 + 9x = 180

Reorder the terms:
-3 + 3 + 12 + 4x + 6x + 9x = 180

Combine like terms: -3 + 3 = 0
0 + 12 + 4x + 6x + 9x = 180
12 + 4x + 6x + 9x = 180

Combine like terms: 4x + 6x = 10x
12 + 10x + 9x = 180

Combine like terms: 10x + 9x = 19x
12 + 19x = 180

Solving
12 + 19x = 180

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 19x = 180 + -12

Combine like terms: 12 + -12 = 0
0 + 19x = 180 + -12
19x = 180 + -12

Combine like terms: 180 + -12 = 168
19x = 168

Divide each side by '19'.
x = 8.842105263

Simplifying
x = 8.842105263

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