(5x-33)+(6x+4)=180

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Solution for (5x-33)+(6x+4)=180 equation:


Simplifying
(5x + -33) + (6x + 4) = 180

Reorder the terms:
(-33 + 5x) + (6x + 4) = 180

Remove parenthesis around (-33 + 5x)
-33 + 5x + (6x + 4) = 180

Reorder the terms:
-33 + 5x + (4 + 6x) = 180

Remove parenthesis around (4 + 6x)
-33 + 5x + 4 + 6x = 180

Reorder the terms:
-33 + 4 + 5x + 6x = 180

Combine like terms: -33 + 4 = -29
-29 + 5x + 6x = 180

Combine like terms: 5x + 6x = 11x
-29 + 11x = 180

Solving
-29 + 11x = 180

Solving for variable 'x'.

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

Add '29' to each side of the equation.
-29 + 29 + 11x = 180 + 29

Combine like terms: -29 + 29 = 0
0 + 11x = 180 + 29
11x = 180 + 29

Combine like terms: 180 + 29 = 209
11x = 209

Divide each side by '11'.
x = 19

Simplifying
x = 19

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