(6x-y)=(7x-2)

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Solution for (6x-y)=(7x-2) equation:


Simplifying
(6x + -1y) = (7x + -2)

Remove parenthesis around (6x + -1y)
6x + -1y = (7x + -2)

Reorder the terms:
6x + -1y = (-2 + 7x)

Remove parenthesis around (-2 + 7x)
6x + -1y = -2 + 7x

Solving
6x + -1y = -2 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
6x + -7x + -1y = -2 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-1x + -1y = -2 + 7x + -7x

Combine like terms: 7x + -7x = 0
-1x + -1y = -2 + 0
-1x + -1y = -2

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

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

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

Simplifying
x = 2 + -1y

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