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

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


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

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

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

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
2x + -1x + 5y = -6 + x + -1x + -2y

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

Combine like terms: x + -1x = 0
1x + 5y = -6 + 0 + -2y
1x + 5y = -6 + -2y

Add '-5y' to each side of the equation.
1x + 5y + -5y = -6 + -2y + -5y

Combine like terms: 5y + -5y = 0
1x + 0 = -6 + -2y + -5y
1x = -6 + -2y + -5y

Combine like terms: -2y + -5y = -7y
1x = -6 + -7y

Divide each side by '1'.
x = -6 + -7y

Simplifying
x = -6 + -7y

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