(4x+10)+(2y-30)=180

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Solution for (4x+10)+(2y-30)=180 equation:


Simplifying
(4x + 10) + (2y + -30) = 180

Reorder the terms:
(10 + 4x) + (2y + -30) = 180

Remove parenthesis around (10 + 4x)
10 + 4x + (2y + -30) = 180

Reorder the terms:
10 + 4x + (-30 + 2y) = 180

Remove parenthesis around (-30 + 2y)
10 + 4x + -30 + 2y = 180

Reorder the terms:
10 + -30 + 4x + 2y = 180

Combine like terms: 10 + -30 = -20
-20 + 4x + 2y = 180

Solving
-20 + 4x + 2y = 180

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 4x + 20 + 2y = 180 + 20

Reorder the terms:
-20 + 20 + 4x + 2y = 180 + 20

Combine like terms: -20 + 20 = 0
0 + 4x + 2y = 180 + 20
4x + 2y = 180 + 20

Combine like terms: 180 + 20 = 200
4x + 2y = 200

Add '-2y' to each side of the equation.
4x + 2y + -2y = 200 + -2y

Combine like terms: 2y + -2y = 0
4x + 0 = 200 + -2y
4x = 200 + -2y

Divide each side by '4'.
x = 50 + -0.5y

Simplifying
x = 50 + -0.5y

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