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

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


Simplifying
6(x + -2y) = 5x + -2y
(x * 6 + -2y * 6) = 5x + -2y
(6x + -12y) = 5x + -2y

Solving
6x + -12y = 5x + -2y

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.
6x + -5x + -12y = 5x + -5x + -2y

Combine like terms: 6x + -5x = 1x
1x + -12y = 5x + -5x + -2y

Combine like terms: 5x + -5x = 0
1x + -12y = 0 + -2y
1x + -12y = -2y

Add '12y' to each side of the equation.
1x + -12y + 12y = -2y + 12y

Combine like terms: -12y + 12y = 0
1x + 0 = -2y + 12y
1x = -2y + 12y

Combine like terms: -2y + 12y = 10y
1x = 10y

Divide each side by '1'.
x = 10y

Simplifying
x = 10y

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