(3x)+(8y-13)+(2x+1)=180

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Solution for (3x)+(8y-13)+(2x+1)=180 equation:


Simplifying
(3x) + (8y + -13) + (2x + 1) = 180

Reorder the terms:
(3x) + (-13 + 8y) + (2x + 1) = 180

Remove parenthesis around (-13 + 8y)
(3x) + -13 + 8y + (2x + 1) = 180

Reorder the terms:
(3x) + -13 + 8y + (1 + 2x) = 180

Remove parenthesis around (1 + 2x)
(3x) + -13 + 8y + 1 + 2x = 180

Reorder the terms:
-13 + 1 + (3x) + 2x + 8y = 180

Combine like terms: -13 + 1 = -12
-12 + (3x) + 2x + 8y = 180

Combine like terms: (3x) + 2x = 5x
-12 + 5x + 8y = 180

Solving
-12 + 5x + 8y = 180

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 5x + 12 + 8y = 180 + 12

Reorder the terms:
-12 + 12 + 5x + 8y = 180 + 12

Combine like terms: -12 + 12 = 0
0 + 5x + 8y = 180 + 12
5x + 8y = 180 + 12

Combine like terms: 180 + 12 = 192
5x + 8y = 192

Add '-8y' to each side of the equation.
5x + 8y + -8y = 192 + -8y

Combine like terms: 8y + -8y = 0
5x + 0 = 192 + -8y
5x = 192 + -8y

Divide each side by '5'.
x = 38.4 + -1.6y

Simplifying
x = 38.4 + -1.6y

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