3(x+1)=2x-y

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Solution for 3(x+1)=2x-y equation:


Simplifying
3(x + 1) = 2x + -1y

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

Solving
3 + 3x = 2x + -1y

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.
3 + 3x + -2x = 2x + -2x + -1y

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

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

Add '-3' to each side of the equation.
3 + -3 + 1x = -3 + -1y

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

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

Simplifying
x = -3 + -1y

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