(5x-14)+(3y-20)=180

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Solution for (5x-14)+(3y-20)=180 equation:


Simplifying
(5x + -14) + (3y + -20) = 180

Reorder the terms:
(-14 + 5x) + (3y + -20) = 180

Remove parenthesis around (-14 + 5x)
-14 + 5x + (3y + -20) = 180

Reorder the terms:
-14 + 5x + (-20 + 3y) = 180

Remove parenthesis around (-20 + 3y)
-14 + 5x + -20 + 3y = 180

Reorder the terms:
-14 + -20 + 5x + 3y = 180

Combine like terms: -14 + -20 = -34
-34 + 5x + 3y = 180

Solving
-34 + 5x + 3y = 180

Solving for variable 'x'.

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

Add '34' to each side of the equation.
-34 + 5x + 34 + 3y = 180 + 34

Reorder the terms:
-34 + 34 + 5x + 3y = 180 + 34

Combine like terms: -34 + 34 = 0
0 + 5x + 3y = 180 + 34
5x + 3y = 180 + 34

Combine like terms: 180 + 34 = 214
5x + 3y = 214

Add '-3y' to each side of the equation.
5x + 3y + -3y = 214 + -3y

Combine like terms: 3y + -3y = 0
5x + 0 = 214 + -3y
5x = 214 + -3y

Divide each side by '5'.
x = 42.8 + -0.6y

Simplifying
x = 42.8 + -0.6y

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