3(x-2y)=2(-x+5)

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Solution for 3(x-2y)=2(-x+5) equation:


Simplifying
3(x + -2y) = 2(-1x + 5)
(x * 3 + -2y * 3) = 2(-1x + 5)
(3x + -6y) = 2(-1x + 5)

Reorder the terms:
3x + -6y = 2(5 + -1x)
3x + -6y = (5 * 2 + -1x * 2)
3x + -6y = (10 + -2x)

Solving
3x + -6y = 10 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
3x + 2x + -6y = 10 + -2x + 2x

Combine like terms: 3x + 2x = 5x
5x + -6y = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
5x + -6y = 10 + 0
5x + -6y = 10

Add '6y' to each side of the equation.
5x + -6y + 6y = 10 + 6y

Combine like terms: -6y + 6y = 0
5x + 0 = 10 + 6y
5x = 10 + 6y

Divide each side by '5'.
x = 2 + 1.2y

Simplifying
x = 2 + 1.2y

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