(6x-9)+(5x-3)+(x)=180

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Solution for (6x-9)+(5x-3)+(x)=180 equation:


Simplifying
(6x + -9) + (5x + -3) + (x) = 180

Reorder the terms:
(-9 + 6x) + (5x + -3) + (x) = 180

Remove parenthesis around (-9 + 6x)
-9 + 6x + (5x + -3) + (x) = 180

Reorder the terms:
-9 + 6x + (-3 + 5x) + (x) = 180

Remove parenthesis around (-3 + 5x)
-9 + 6x + -3 + 5x + (x) = 180
-9 + 6x + -3 + 5x + x = 180

Reorder the terms:
-9 + -3 + 6x + 5x + x = 180

Combine like terms: -9 + -3 = -12
-12 + 6x + 5x + x = 180

Combine like terms: 6x + 5x = 11x
-12 + 11x + x = 180

Combine like terms: 11x + x = 12x
-12 + 12x = 180

Solving
-12 + 12x = 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 + 12x = 180 + 12

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

Combine like terms: 180 + 12 = 192
12x = 192

Divide each side by '12'.
x = 16

Simplifying
x = 16

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