(x-6)3y+6=180

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Solution for (x-6)3y+6=180 equation:


Simplifying
(x + -6) * 3y + 6 = 180

Reorder the terms:
(-6 + x) * 3y + 6 = 180

Reorder the terms for easier multiplication:
3y(-6 + x) + 6 = 180
(-6 * 3y + x * 3y) + 6 = 180

Reorder the terms:
(3xy + -18y) + 6 = 180
(3xy + -18y) + 6 = 180

Reorder the terms:
6 + 3xy + -18y = 180

Solving
6 + 3xy + -18y = 180

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + 3xy + -6 + -18y = 180 + -6

Reorder the terms:
6 + -6 + 3xy + -18y = 180 + -6

Combine like terms: 6 + -6 = 0
0 + 3xy + -18y = 180 + -6
3xy + -18y = 180 + -6

Combine like terms: 180 + -6 = 174
3xy + -18y = 174

Add '18y' to each side of the equation.
3xy + -18y + 18y = 174 + 18y

Combine like terms: -18y + 18y = 0
3xy + 0 = 174 + 18y
3xy = 174 + 18y

Divide each side by '3y'.
x = 58y-1 + 6

Simplifying
x = 58y-1 + 6

Reorder the terms:
x = 6 + 58y-1

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