(4x-3)+(9x-6)+(6x-1)=180

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Solution for (4x-3)+(9x-6)+(6x-1)=180 equation:


Simplifying
(4x + -3) + (9x + -6) + (6x + -1) = 180

Reorder the terms:
(-3 + 4x) + (9x + -6) + (6x + -1) = 180

Remove parenthesis around (-3 + 4x)
-3 + 4x + (9x + -6) + (6x + -1) = 180

Reorder the terms:
-3 + 4x + (-6 + 9x) + (6x + -1) = 180

Remove parenthesis around (-6 + 9x)
-3 + 4x + -6 + 9x + (6x + -1) = 180

Reorder the terms:
-3 + 4x + -6 + 9x + (-1 + 6x) = 180

Remove parenthesis around (-1 + 6x)
-3 + 4x + -6 + 9x + -1 + 6x = 180

Reorder the terms:
-3 + -6 + -1 + 4x + 9x + 6x = 180

Combine like terms: -3 + -6 = -9
-9 + -1 + 4x + 9x + 6x = 180

Combine like terms: -9 + -1 = -10
-10 + 4x + 9x + 6x = 180

Combine like terms: 4x + 9x = 13x
-10 + 13x + 6x = 180

Combine like terms: 13x + 6x = 19x
-10 + 19x = 180

Solving
-10 + 19x = 180

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 19x = 180 + 10

Combine like terms: -10 + 10 = 0
0 + 19x = 180 + 10
19x = 180 + 10

Combine like terms: 180 + 10 = 190
19x = 190

Divide each side by '19'.
x = 10

Simplifying
x = 10

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