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

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


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

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

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

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

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

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + -3x + -1x + 2y = x + -1x + 3y

Combine like terms: -3x + -1x = -4x
6 + -4x + 2y = x + -1x + 3y

Combine like terms: x + -1x = 0
6 + -4x + 2y = 0 + 3y
6 + -4x + 2y = 3y

Add '-6' to each side of the equation.
6 + -4x + -6 + 2y = -6 + 3y

Reorder the terms:
6 + -6 + -4x + 2y = -6 + 3y

Combine like terms: 6 + -6 = 0
0 + -4x + 2y = -6 + 3y
-4x + 2y = -6 + 3y

Add '-2y' to each side of the equation.
-4x + 2y + -2y = -6 + 3y + -2y

Combine like terms: 2y + -2y = 0
-4x + 0 = -6 + 3y + -2y
-4x = -6 + 3y + -2y

Combine like terms: 3y + -2y = 1y
-4x = -6 + 1y

Divide each side by '-4'.
x = 1.5 + -0.25y

Simplifying
x = 1.5 + -0.25y

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