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

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


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

Reorder the terms:
5(3 + x) + -1y = 3(y + 2) + -1x
(3 * 5 + x * 5) + -1y = 3(y + 2) + -1x
(15 + 5x) + -1y = 3(y + 2) + -1x

Reorder the terms:
15 + 5x + -1y = 3(2 + y) + -1x
15 + 5x + -1y = (2 * 3 + y * 3) + -1x
15 + 5x + -1y = (6 + 3y) + -1x

Reorder the terms:
15 + 5x + -1y = 6 + -1x + 3y

Solving
15 + 5x + -1y = 6 + -1x + 3y

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
15 + 5x + x + -1y = 6 + -1x + x + 3y

Combine like terms: 5x + x = 6x
15 + 6x + -1y = 6 + -1x + x + 3y

Combine like terms: -1x + x = 0
15 + 6x + -1y = 6 + 0 + 3y
15 + 6x + -1y = 6 + 3y

Add '-15' to each side of the equation.
15 + 6x + -15 + -1y = 6 + -15 + 3y

Reorder the terms:
15 + -15 + 6x + -1y = 6 + -15 + 3y

Combine like terms: 15 + -15 = 0
0 + 6x + -1y = 6 + -15 + 3y
6x + -1y = 6 + -15 + 3y

Combine like terms: 6 + -15 = -9
6x + -1y = -9 + 3y

Add 'y' to each side of the equation.
6x + -1y + y = -9 + 3y + y

Combine like terms: -1y + y = 0
6x + 0 = -9 + 3y + y
6x = -9 + 3y + y

Combine like terms: 3y + y = 4y
6x = -9 + 4y

Divide each side by '6'.
x = -1.5 + 0.6666666667y

Simplifying
x = -1.5 + 0.6666666667y

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