(2x+3y)+(3x-8)=180

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Solution for (2x+3y)+(3x-8)=180 equation:


Simplifying
(2x + 3y) + (3x + -8) = 180

Remove parenthesis around (2x + 3y)
2x + 3y + (3x + -8) = 180

Reorder the terms:
2x + 3y + (-8 + 3x) = 180

Remove parenthesis around (-8 + 3x)
2x + 3y + -8 + 3x = 180

Reorder the terms:
-8 + 2x + 3x + 3y = 180

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

Solving
-8 + 5x + 3y = 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 + 5x + 8 + 3y = 180 + 8

Reorder the terms:
-8 + 8 + 5x + 3y = 180 + 8

Combine like terms: -8 + 8 = 0
0 + 5x + 3y = 180 + 8
5x + 3y = 180 + 8

Combine like terms: 180 + 8 = 188
5x + 3y = 188

Add '-3y' to each side of the equation.
5x + 3y + -3y = 188 + -3y

Combine like terms: 3y + -3y = 0
5x + 0 = 188 + -3y
5x = 188 + -3y

Divide each side by '5'.
x = 37.6 + -0.6y

Simplifying
x = 37.6 + -0.6y

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