(9x+42)+(15x)+(4y-13)=180

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Solution for (9x+42)+(15x)+(4y-13)=180 equation:


Simplifying
(9x + 42) + (15x) + (4y + -13) = 180

Reorder the terms:
(42 + 9x) + (15x) + (4y + -13) = 180

Remove parenthesis around (42 + 9x)
42 + 9x + (15x) + (4y + -13) = 180

Reorder the terms:
42 + 9x + (15x) + (-13 + 4y) = 180

Remove parenthesis around (-13 + 4y)
42 + 9x + (15x) + -13 + 4y = 180

Reorder the terms:
42 + -13 + 9x + (15x) + 4y = 180

Combine like terms: 42 + -13 = 29
29 + 9x + (15x) + 4y = 180

Combine like terms: 9x + (15x) = 24x
29 + 24x + 4y = 180

Solving
29 + 24x + 4y = 180

Solving for variable 'x'.

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

Add '-29' to each side of the equation.
29 + 24x + -29 + 4y = 180 + -29

Reorder the terms:
29 + -29 + 24x + 4y = 180 + -29

Combine like terms: 29 + -29 = 0
0 + 24x + 4y = 180 + -29
24x + 4y = 180 + -29

Combine like terms: 180 + -29 = 151
24x + 4y = 151

Add '-4y' to each side of the equation.
24x + 4y + -4y = 151 + -4y

Combine like terms: 4y + -4y = 0
24x + 0 = 151 + -4y
24x = 151 + -4y

Divide each side by '24'.
x = 6.291666667 + -0.1666666667y

Simplifying
x = 6.291666667 + -0.1666666667y

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