(2x+2)+(3y-10)=180

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Solution for (2x+2)+(3y-10)=180 equation:


Simplifying
(2x + 2) + (3y + -10) = 180

Reorder the terms:
(2 + 2x) + (3y + -10) = 180

Remove parenthesis around (2 + 2x)
2 + 2x + (3y + -10) = 180

Reorder the terms:
2 + 2x + (-10 + 3y) = 180

Remove parenthesis around (-10 + 3y)
2 + 2x + -10 + 3y = 180

Reorder the terms:
2 + -10 + 2x + 3y = 180

Combine like terms: 2 + -10 = -8
-8 + 2x + 3y = 180

Solving
-8 + 2x + 3y = 180

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 2x + 8 + 3y = 180 + 8

Reorder the terms:
-8 + 8 + 2x + 3y = 180 + 8

Combine like terms: -8 + 8 = 0
0 + 2x + 3y = 180 + 8
2x + 3y = 180 + 8

Combine like terms: 180 + 8 = 188
2x + 3y = 188

Add '-3y' to each side of the equation.
2x + 3y + -3y = 188 + -3y

Combine like terms: 3y + -3y = 0
2x + 0 = 188 + -3y
2x = 188 + -3y

Divide each side by '2'.
x = 94 + -1.5y

Simplifying
x = 94 + -1.5y

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