(10x-61)+(x+10)=180

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Solution for (10x-61)+(x+10)=180 equation:


Simplifying
(10x + -61) + (x + 10) = 180

Reorder the terms:
(-61 + 10x) + (x + 10) = 180

Remove parenthesis around (-61 + 10x)
-61 + 10x + (x + 10) = 180

Reorder the terms:
-61 + 10x + (10 + x) = 180

Remove parenthesis around (10 + x)
-61 + 10x + 10 + x = 180

Reorder the terms:
-61 + 10 + 10x + x = 180

Combine like terms: -61 + 10 = -51
-51 + 10x + x = 180

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

Solving
-51 + 11x = 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 + 11x = 180 + 51

Combine like terms: -51 + 51 = 0
0 + 11x = 180 + 51
11x = 180 + 51

Combine like terms: 180 + 51 = 231
11x = 231

Divide each side by '11'.
x = 21

Simplifying
x = 21

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