(10x-22)+(11x-29)=180

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Solution for (10x-22)+(11x-29)=180 equation:


Simplifying
(10x + -22) + (11x + -29) = 180

Reorder the terms:
(-22 + 10x) + (11x + -29) = 180

Remove parenthesis around (-22 + 10x)
-22 + 10x + (11x + -29) = 180

Reorder the terms:
-22 + 10x + (-29 + 11x) = 180

Remove parenthesis around (-29 + 11x)
-22 + 10x + -29 + 11x = 180

Reorder the terms:
-22 + -29 + 10x + 11x = 180

Combine like terms: -22 + -29 = -51
-51 + 10x + 11x = 180

Combine like terms: 10x + 11x = 21x
-51 + 21x = 180

Solving
-51 + 21x = 180

Solving for variable 'x'.

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

Add '51' to each side of the equation.
-51 + 51 + 21x = 180 + 51

Combine like terms: -51 + 51 = 0
0 + 21x = 180 + 51
21x = 180 + 51

Combine like terms: 180 + 51 = 231
21x = 231

Divide each side by '21'.
x = 11

Simplifying
x = 11

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