6-2(x-y)=-3x+5

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


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

Reorder the terms:
6 + -2x + 2y = 5 + -3x

Solving
6 + -2x + 2y = 5 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
6 + -2x + 3x + 2y = 5 + -3x + 3x

Combine like terms: -2x + 3x = 1x
6 + 1x + 2y = 5 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + 1x + 2y = 5 + 0
6 + 1x + 2y = 5

Add '-6' to each side of the equation.
6 + 1x + -6 + 2y = 5 + -6

Reorder the terms:
6 + -6 + 1x + 2y = 5 + -6

Combine like terms: 6 + -6 = 0
0 + 1x + 2y = 5 + -6
1x + 2y = 5 + -6

Combine like terms: 5 + -6 = -1
1x + 2y = -1

Add '-2y' to each side of the equation.
1x + 2y + -2y = -1 + -2y

Combine like terms: 2y + -2y = 0
1x + 0 = -1 + -2y
1x = -1 + -2y

Divide each side by '1'.
x = -1 + -2y

Simplifying
x = -1 + -2y

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