(4x-60)+(7x+31)=180

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Solution for (4x-60)+(7x+31)=180 equation:


Simplifying
(4x + -60) + (7x + 31) = 180

Reorder the terms:
(-60 + 4x) + (7x + 31) = 180

Remove parenthesis around (-60 + 4x)
-60 + 4x + (7x + 31) = 180

Reorder the terms:
-60 + 4x + (31 + 7x) = 180

Remove parenthesis around (31 + 7x)
-60 + 4x + 31 + 7x = 180

Reorder the terms:
-60 + 31 + 4x + 7x = 180

Combine like terms: -60 + 31 = -29
-29 + 4x + 7x = 180

Combine like terms: 4x + 7x = 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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