6x+3y=5x-13+2

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Solution for 6x+3y=5x-13+2 equation:


Simplifying
6x + 3y = 5x + -13 + 2

Reorder the terms:
6x + 3y = -13 + 2 + 5x

Combine like terms: -13 + 2 = -11
6x + 3y = -11 + 5x

Solving
6x + 3y = -11 + 5x

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 + 3y = -11 + 5x + -5x

Combine like terms: 6x + -5x = 1x
1x + 3y = -11 + 5x + -5x

Combine like terms: 5x + -5x = 0
1x + 3y = -11 + 0
1x + 3y = -11

Add '-3y' to each side of the equation.
1x + 3y + -3y = -11 + -3y

Combine like terms: 3y + -3y = 0
1x + 0 = -11 + -3y
1x = -11 + -3y

Divide each side by '1'.
x = -11 + -3y

Simplifying
x = -11 + -3y

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