(3y-2)+(4x+13)=180

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Solution for (3y-2)+(4x+13)=180 equation:


Simplifying
(3y + -2) + (4x + 13) = 180

Reorder the terms:
(-2 + 3y) + (4x + 13) = 180

Remove parenthesis around (-2 + 3y)
-2 + 3y + (4x + 13) = 180

Reorder the terms:
-2 + 3y + (13 + 4x) = 180

Remove parenthesis around (13 + 4x)
-2 + 3y + 13 + 4x = 180

Reorder the terms:
-2 + 13 + 4x + 3y = 180

Combine like terms: -2 + 13 = 11
11 + 4x + 3y = 180

Solving
11 + 4x + 3y = 180

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + 4x + -11 + 3y = 180 + -11

Reorder the terms:
11 + -11 + 4x + 3y = 180 + -11

Combine like terms: 11 + -11 = 0
0 + 4x + 3y = 180 + -11
4x + 3y = 180 + -11

Combine like terms: 180 + -11 = 169
4x + 3y = 169

Add '-3y' to each side of the equation.
4x + 3y + -3y = 169 + -3y

Combine like terms: 3y + -3y = 0
4x + 0 = 169 + -3y
4x = 169 + -3y

Divide each side by '4'.
x = 42.25 + -0.75y

Simplifying
x = 42.25 + -0.75y

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