6-2(x-y)=3x+56

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Solution for 6-2(x-y)=3x+56 equation:


Simplifying
6 + -2(x + -1y) = 3x + 56
6 + (x * -2 + -1y * -2) = 3x + 56
6 + (-2x + 2y) = 3x + 56

Reorder the terms:
6 + -2x + 2y = 56 + 3x

Solving
6 + -2x + 2y = 56 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6 + -2x + -3x + 2y = 56 + 3x + -3x

Combine like terms: -2x + -3x = -5x
6 + -5x + 2y = 56 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -5x + 2y = 56 + 0
6 + -5x + 2y = 56

Add '-6' to each side of the equation.
6 + -5x + -6 + 2y = 56 + -6

Reorder the terms:
6 + -6 + -5x + 2y = 56 + -6

Combine like terms: 6 + -6 = 0
0 + -5x + 2y = 56 + -6
-5x + 2y = 56 + -6

Combine like terms: 56 + -6 = 50
-5x + 2y = 50

Add '-2y' to each side of the equation.
-5x + 2y + -2y = 50 + -2y

Combine like terms: 2y + -2y = 0
-5x + 0 = 50 + -2y
-5x = 50 + -2y

Divide each side by '-5'.
x = -10 + 0.4y

Simplifying
x = -10 + 0.4y

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