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

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


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

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

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

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

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

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

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

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

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

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

Combine like terms: x + x = 2x
-9 + 2x + 5x = 180

Combine like terms: 2x + 5x = 7x
-9 + 7x = 180

Solving
-9 + 7x = 180

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 7x = 180 + 9

Combine like terms: -9 + 9 = 0
0 + 7x = 180 + 9
7x = 180 + 9

Combine like terms: 180 + 9 = 189
7x = 189

Divide each side by '7'.
x = 27

Simplifying
x = 27

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