(2x+9y)+(3x+14)=180

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Solution for (2x+9y)+(3x+14)=180 equation:


Simplifying
(2x + 9y) + (3x + 14) = 180

Remove parenthesis around (2x + 9y)
2x + 9y + (3x + 14) = 180

Reorder the terms:
2x + 9y + (14 + 3x) = 180

Remove parenthesis around (14 + 3x)
2x + 9y + 14 + 3x = 180

Reorder the terms:
14 + 2x + 3x + 9y = 180

Combine like terms: 2x + 3x = 5x
14 + 5x + 9y = 180

Solving
14 + 5x + 9y = 180

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + 5x + -14 + 9y = 180 + -14

Reorder the terms:
14 + -14 + 5x + 9y = 180 + -14

Combine like terms: 14 + -14 = 0
0 + 5x + 9y = 180 + -14
5x + 9y = 180 + -14

Combine like terms: 180 + -14 = 166
5x + 9y = 166

Add '-9y' to each side of the equation.
5x + 9y + -9y = 166 + -9y

Combine like terms: 9y + -9y = 0
5x + 0 = 166 + -9y
5x = 166 + -9y

Divide each side by '5'.
x = 33.2 + -1.8y

Simplifying
x = 33.2 + -1.8y

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