(6x-62)+(3x+71)=180

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Solution for (6x-62)+(3x+71)=180 equation:


Simplifying
(6x + -62) + (3x + 71) = 180

Reorder the terms:
(-62 + 6x) + (3x + 71) = 180

Remove parenthesis around (-62 + 6x)
-62 + 6x + (3x + 71) = 180

Reorder the terms:
-62 + 6x + (71 + 3x) = 180

Remove parenthesis around (71 + 3x)
-62 + 6x + 71 + 3x = 180

Reorder the terms:
-62 + 71 + 6x + 3x = 180

Combine like terms: -62 + 71 = 9
9 + 6x + 3x = 180

Combine like terms: 6x + 3x = 9x
9 + 9x = 180

Solving
9 + 9x = 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 + 9x = 180 + -9

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

Combine like terms: 180 + -9 = 171
9x = 171

Divide each side by '9'.
x = 19

Simplifying
x = 19

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