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

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


Simplifying
(2x + 3y) + -1(x + -2y) = 0

Remove parenthesis around (2x + 3y)
2x + 3y + -1(x + -2y) = 0
2x + 3y + (x * -1 + -2y * -1) = 0
2x + 3y + (-1x + 2y) = 0

Reorder the terms:
2x + -1x + 3y + 2y = 0

Combine like terms: 2x + -1x = 1x
1x + 3y + 2y = 0

Combine like terms: 3y + 2y = 5y
1x + 5y = 0

Solving
1x + 5y = 0

Solving for variable 'x'.

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

Add '-5y' to each side of the equation.
1x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
1x + 0 = 0 + -5y
1x = 0 + -5y
Remove the zero:
1x = -5y

Divide each side by '1'.
x = -5y

Simplifying
x = -5y

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