5x+(12x-41)+5y=180

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Solution for 5x+(12x-41)+5y=180 equation:


Simplifying
5x + (12x + -41) + 5y = 180

Reorder the terms:
5x + (-41 + 12x) + 5y = 180

Remove parenthesis around (-41 + 12x)
5x + -41 + 12x + 5y = 180

Reorder the terms:
-41 + 5x + 12x + 5y = 180

Combine like terms: 5x + 12x = 17x
-41 + 17x + 5y = 180

Solving
-41 + 17x + 5y = 180

Solving for variable 'x'.

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

Add '41' to each side of the equation.
-41 + 17x + 41 + 5y = 180 + 41

Reorder the terms:
-41 + 41 + 17x + 5y = 180 + 41

Combine like terms: -41 + 41 = 0
0 + 17x + 5y = 180 + 41
17x + 5y = 180 + 41

Combine like terms: 180 + 41 = 221
17x + 5y = 221

Add '-5y' to each side of the equation.
17x + 5y + -5y = 221 + -5y

Combine like terms: 5y + -5y = 0
17x + 0 = 221 + -5y
17x = 221 + -5y

Divide each side by '17'.
x = 13 + -0.2941176471y

Simplifying
x = 13 + -0.2941176471y

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