2(x-1)-6x=10-2(x-y)

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Solution for 2(x-1)-6x=10-2(x-y) equation: 


Simplifying
2(x + -1) + -6x = 10 + -2(x + -1y)

Reorder the terms:
2(-1 + x) + -6x = 10 + -2(x + -1y)
(-1 * 2 + x * 2) + -6x = 10 + -2(x + -1y)
(-2 + 2x) + -6x = 10 + -2(x + -1y)

Combine like terms: 2x + -6x = -4x
-2 + -4x = 10 + -2(x + -1y)
-2 + -4x = 10 + (x * -2 + -1y * -2)
-2 + -4x = 10 + (-2x + 2y)

Solving
-2 + -4x = 10 + -2x + 2y

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.
-2 + -4x + 2x = 10 + -2x + 2x + 2y

Combine like terms: -4x + 2x = -2x
-2 + -2x = 10 + -2x + 2x + 2y

Combine like terms: -2x + 2x = 0
-2 + -2x = 10 + 0 + 2y
-2 + -2x = 10 + 2y

Add '2' to each side of the equation.
-2 + 2 + -2x = 10 + 2 + 2y

Combine like terms: -2 + 2 = 0
0 + -2x = 10 + 2 + 2y
-2x = 10 + 2 + 2y

Combine like terms: 10 + 2 = 12
-2x = 12 + 2y

Divide each side by '-2'.
x = -6 + -1y

Simplifying
x = -6 + -1y

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