(4x-5)+(10y-3)+(97-2x)=180

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Solution for (4x-5)+(10y-3)+(97-2x)=180 equation:


Simplifying
(4x + -5) + (10y + -3) + (97 + -2x) = 180

Reorder the terms:
(-5 + 4x) + (10y + -3) + (97 + -2x) = 180

Remove parenthesis around (-5 + 4x)
-5 + 4x + (10y + -3) + (97 + -2x) = 180

Reorder the terms:
-5 + 4x + (-3 + 10y) + (97 + -2x) = 180

Remove parenthesis around (-3 + 10y)
-5 + 4x + -3 + 10y + (97 + -2x) = 180

Remove parenthesis around (97 + -2x)
-5 + 4x + -3 + 10y + 97 + -2x = 180

Reorder the terms:
-5 + -3 + 97 + 4x + -2x + 10y = 180

Combine like terms: -5 + -3 = -8
-8 + 97 + 4x + -2x + 10y = 180

Combine like terms: -8 + 97 = 89
89 + 4x + -2x + 10y = 180

Combine like terms: 4x + -2x = 2x
89 + 2x + 10y = 180

Solving
89 + 2x + 10y = 180

Solving for variable 'x'.

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

Add '-89' to each side of the equation.
89 + 2x + -89 + 10y = 180 + -89

Reorder the terms:
89 + -89 + 2x + 10y = 180 + -89

Combine like terms: 89 + -89 = 0
0 + 2x + 10y = 180 + -89
2x + 10y = 180 + -89

Combine like terms: 180 + -89 = 91
2x + 10y = 91

Add '-10y' to each side of the equation.
2x + 10y + -10y = 91 + -10y

Combine like terms: 10y + -10y = 0
2x + 0 = 91 + -10y
2x = 91 + -10y

Divide each side by '2'.
x = 45.5 + -5y

Simplifying
x = 45.5 + -5y

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