(7x+5)+(9x-13)+(4y)=180

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Solution for (7x+5)+(9x-13)+(4y)=180 equation:


Simplifying
(7x + 5) + (9x + -13) + (4y) = 180

Reorder the terms:
(5 + 7x) + (9x + -13) + (4y) = 180

Remove parenthesis around (5 + 7x)
5 + 7x + (9x + -13) + (4y) = 180

Reorder the terms:
5 + 7x + (-13 + 9x) + (4y) = 180

Remove parenthesis around (-13 + 9x)
5 + 7x + -13 + 9x + (4y) = 180

Reorder the terms:
5 + -13 + 7x + 9x + (4y) = 180

Combine like terms: 5 + -13 = -8
-8 + 7x + 9x + (4y) = 180

Combine like terms: 7x + 9x = 16x
-8 + 16x + (4y) = 180

Solving
-8 + 16x + (4y) = 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 + 16x + 8 + (4y) = 180 + 8

Reorder the terms:
-8 + 8 + 16x + (4y) = 180 + 8

Combine like terms: -8 + 8 = 0
0 + 16x + (4y) = 180 + 8
16x + (4y) = 180 + 8

Combine like terms: 180 + 8 = 188
16x + (4y) = 188

Add '(-4y)' to each side of the equation.
16x + (4y) + (-4y) = 188 + (-4y)

Combine like terms: (4y) + (-4y) = 0
16x + 0 = 188 + (-4y)
16x = 188 + (-4y)

Divide each side by '16'.
x = 11.75 + (-0.25y)

Simplifying
x = 11.75 + (-0.25y)

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