((3x-5x)+2x)*2=3+3y(6x+4-8)

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Solution for ((3x-5x)+2x)*2=3+3y(6x+4-8) equation:


Simplifying
((3x + -5x) + 2x) * 2 = 3 + 3y(6x + 4 + -8)

Combine like terms: 3x + -5x = -2x
((-2x) + 2x) * 2 = 3 + 3y(6x + 4 + -8)
((-2x) + 2x) * 2 = 3 + 3y(6x + 4 + -8)

Combine like terms: (-2x) + 2x = 0
(0) * 2 = 3 + 3y(6x + 4 + -8)

Multiply 0 * 2
0 = 3 + 3y(6x + 4 + -8)

Anything times zero is zero.
0 = 3 + 3y(6x + 4 + -8)

Reorder the terms:
0 = 3 + 3y(4 + -8 + 6x)

Combine like terms: 4 + -8 = -4
0 = 3 + 3y(-4 + 6x)
0 = 3 + (-4 * 3y + 6x * 3y)

Reorder the terms:
0 = 3 + (18xy + -12y)
0 = 3 + (18xy + -12y)

Solving
0 = 3 + 18xy + -12y

Solving for variable 'x'.

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

Add '-18xy' to each side of the equation.
0 + -18xy = 3 + 18xy + -18xy + -12y
Remove the zero:
-18xy = 3 + 18xy + -18xy + -12y

Combine like terms: 18xy + -18xy = 0
-18xy = 3 + 0 + -12y
-18xy = 3 + -12y

Divide each side by '-18y'.
x = -0.1666666667y-1 + 0.6666666667

Simplifying
x = -0.1666666667y-1 + 0.6666666667

Reorder the terms:
x = 0.6666666667 + -0.1666666667y-1

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