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

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


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

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

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

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

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

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

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

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

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

Combine like terms: 6x + 4x = 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 = 192
19x = 192

Divide each side by '19'.
x = 10.10526316

Simplifying
x = 10.10526316

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