(10x-2)+(3x+9)+(3x-3)=180

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Solution for (10x-2)+(3x+9)+(3x-3)=180 equation:


Simplifying
(10x + -2) + (3x + 9) + (3x + -3) = 180

Reorder the terms:
(-2 + 10x) + (3x + 9) + (3x + -3) = 180

Remove parenthesis around (-2 + 10x)
-2 + 10x + (3x + 9) + (3x + -3) = 180

Reorder the terms:
-2 + 10x + (9 + 3x) + (3x + -3) = 180

Remove parenthesis around (9 + 3x)
-2 + 10x + 9 + 3x + (3x + -3) = 180

Reorder the terms:
-2 + 10x + 9 + 3x + (-3 + 3x) = 180

Remove parenthesis around (-3 + 3x)
-2 + 10x + 9 + 3x + -3 + 3x = 180

Reorder the terms:
-2 + 9 + -3 + 10x + 3x + 3x = 180

Combine like terms: -2 + 9 = 7
7 + -3 + 10x + 3x + 3x = 180

Combine like terms: 7 + -3 = 4
4 + 10x + 3x + 3x = 180

Combine like terms: 10x + 3x = 13x
4 + 13x + 3x = 180

Combine like terms: 13x + 3x = 16x
4 + 16x = 180

Solving
4 + 16x = 180

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 16x = 180 + -4

Combine like terms: 4 + -4 = 0
0 + 16x = 180 + -4
16x = 180 + -4

Combine like terms: 180 + -4 = 176
16x = 176

Divide each side by '16'.
x = 11

Simplifying
x = 11

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