(7x-5)+(12x+10)=180

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Solution for (7x-5)+(12x+10)=180 equation:


Simplifying
(7x + -5) + (12x + 10) = 180

Reorder the terms:
(-5 + 7x) + (12x + 10) = 180

Remove parenthesis around (-5 + 7x)
-5 + 7x + (12x + 10) = 180

Reorder the terms:
-5 + 7x + (10 + 12x) = 180

Remove parenthesis around (10 + 12x)
-5 + 7x + 10 + 12x = 180

Reorder the terms:
-5 + 10 + 7x + 12x = 180

Combine like terms: -5 + 10 = 5
5 + 7x + 12x = 180

Combine like terms: 7x + 12x = 19x
5 + 19x = 180

Solving
5 + 19x = 180

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 19x = 180 + -5

Combine like terms: 5 + -5 = 0
0 + 19x = 180 + -5
19x = 180 + -5

Combine like terms: 180 + -5 = 175
19x = 175

Divide each side by '19'.
x = 9.210526316

Simplifying
x = 9.210526316

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