(3x-5)-(2x-3y)=

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Solution for (3x-5)-(2x-3y)= equation:


Simplifying
(3x + -5) + -1(2x + -3y) = 0

Reorder the terms:
(-5 + 3x) + -1(2x + -3y) = 0

Remove parenthesis around (-5 + 3x)
-5 + 3x + -1(2x + -3y) = 0
-5 + 3x + (2x * -1 + -3y * -1) = 0
-5 + 3x + (-2x + 3y) = 0

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

Solving
-5 + 1x + 3y = 0

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 1x + 5 + 3y = 0 + 5

Reorder the terms:
-5 + 5 + 1x + 3y = 0 + 5

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

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

Add '-3y' to each side of the equation.
1x + 3y + -3y = 5 + -3y

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

Divide each side by '1'.
x = 5 + -3y

Simplifying
x = 5 + -3y

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