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

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


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

Reorder the terms:
6(2 + x) = 5(x + -1y)
(2 * 6 + x * 6) = 5(x + -1y)
(12 + 6x) = 5(x + -1y)
12 + 6x = (x * 5 + -1y * 5)
12 + 6x = (5x + -5y)

Solving
12 + 6x = 5x + -5y

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
12 + 6x + -5x = 5x + -5x + -5y

Combine like terms: 6x + -5x = 1x
12 + 1x = 5x + -5x + -5y

Combine like terms: 5x + -5x = 0
12 + 1x = 0 + -5y
12 + 1x = -5y

Add '-12' to each side of the equation.
12 + -12 + 1x = -12 + -5y

Combine like terms: 12 + -12 = 0
0 + 1x = -12 + -5y
1x = -12 + -5y

Divide each side by '1'.
x = -12 + -5y

Simplifying
x = -12 + -5y

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