(10x+5y)+80+72+(15x+4y)=360

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Solution for (10x+5y)+80+72+(15x+4y)=360 equation:


Simplifying
(10x + 5y) + 80 + 72 + (15x + 4y) = 360

Remove parenthesis around (10x + 5y)
10x + 5y + 80 + 72 + (15x + 4y) = 360

Remove parenthesis around (15x + 4y)
10x + 5y + 80 + 72 + 15x + 4y = 360

Reorder the terms:
80 + 72 + 10x + 15x + 5y + 4y = 360

Combine like terms: 80 + 72 = 152
152 + 10x + 15x + 5y + 4y = 360

Combine like terms: 10x + 15x = 25x
152 + 25x + 5y + 4y = 360

Combine like terms: 5y + 4y = 9y
152 + 25x + 9y = 360

Solving
152 + 25x + 9y = 360

Solving for variable 'x'.

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

Add '-152' to each side of the equation.
152 + 25x + -152 + 9y = 360 + -152

Reorder the terms:
152 + -152 + 25x + 9y = 360 + -152

Combine like terms: 152 + -152 = 0
0 + 25x + 9y = 360 + -152
25x + 9y = 360 + -152

Combine like terms: 360 + -152 = 208
25x + 9y = 208

Add '-9y' to each side of the equation.
25x + 9y + -9y = 208 + -9y

Combine like terms: 9y + -9y = 0
25x + 0 = 208 + -9y
25x = 208 + -9y

Divide each side by '25'.
x = 8.32 + -0.36y

Simplifying
x = 8.32 + -0.36y

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