(3x+1)+(2y-4)+22=180

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Solution for (3x+1)+(2y-4)+22=180 equation:


Simplifying
(3x + 1) + (2y + -4) + 22 = 180

Reorder the terms:
(1 + 3x) + (2y + -4) + 22 = 180

Remove parenthesis around (1 + 3x)
1 + 3x + (2y + -4) + 22 = 180

Reorder the terms:
1 + 3x + (-4 + 2y) + 22 = 180

Remove parenthesis around (-4 + 2y)
1 + 3x + -4 + 2y + 22 = 180

Reorder the terms:
1 + -4 + 22 + 3x + 2y = 180

Combine like terms: 1 + -4 = -3
-3 + 22 + 3x + 2y = 180

Combine like terms: -3 + 22 = 19
19 + 3x + 2y = 180

Solving
19 + 3x + 2y = 180

Solving for variable 'x'.

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

Add '-19' to each side of the equation.
19 + 3x + -19 + 2y = 180 + -19

Reorder the terms:
19 + -19 + 3x + 2y = 180 + -19

Combine like terms: 19 + -19 = 0
0 + 3x + 2y = 180 + -19
3x + 2y = 180 + -19

Combine like terms: 180 + -19 = 161
3x + 2y = 161

Add '-2y' to each side of the equation.
3x + 2y + -2y = 161 + -2y

Combine like terms: 2y + -2y = 0
3x + 0 = 161 + -2y
3x = 161 + -2y

Divide each side by '3'.
x = 53.66666667 + -0.6666666667y

Simplifying
x = 53.66666667 + -0.6666666667y

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