3y(x-2)+(4x+10)=180

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Solution for 3y(x-2)+(4x+10)=180 equation:


Simplifying
3y(x + -2) + (4x + 10) = 180

Reorder the terms:
3y(-2 + x) + (4x + 10) = 180
(-2 * 3y + x * 3y) + (4x + 10) = 180

Reorder the terms:
(3xy + -6y) + (4x + 10) = 180
(3xy + -6y) + (4x + 10) = 180

Reorder the terms:
3xy + -6y + (10 + 4x) = 180

Remove parenthesis around (10 + 4x)
3xy + -6y + 10 + 4x = 180

Reorder the terms:
10 + 4x + 3xy + -6y = 180

Solving
10 + 4x + 3xy + -6y = 180

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + 4x + 3xy + -10 + -6y = 180 + -10

Reorder the terms:
10 + -10 + 4x + 3xy + -6y = 180 + -10

Combine like terms: 10 + -10 = 0
0 + 4x + 3xy + -6y = 180 + -10
4x + 3xy + -6y = 180 + -10

Combine like terms: 180 + -10 = 170
4x + 3xy + -6y = 170

Add '6y' to each side of the equation.
4x + 3xy + -6y + 6y = 170 + 6y

Combine like terms: -6y + 6y = 0
4x + 3xy + 0 = 170 + 6y
4x + 3xy = 170 + 6y

Reorder the terms:
-170 + 4x + 3xy + -6y = 170 + 6y + -170 + -6y

Reorder the terms:
-170 + 4x + 3xy + -6y = 170 + -170 + 6y + -6y

Combine like terms: 170 + -170 = 0
-170 + 4x + 3xy + -6y = 0 + 6y + -6y
-170 + 4x + 3xy + -6y = 6y + -6y

Combine like terms: 6y + -6y = 0
-170 + 4x + 3xy + -6y = 0

The solution to this equation could not be determined.

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