(2x+3y-3)-(3x-7)=

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Solution for (2x+3y-3)-(3x-7)= equation:


Simplifying
(2x + 3y + -3) + -1(3x + -7) = 0

Reorder the terms:
(-3 + 2x + 3y) + -1(3x + -7) = 0

Remove parenthesis around (-3 + 2x + 3y)
-3 + 2x + 3y + -1(3x + -7) = 0

Reorder the terms:
-3 + 2x + 3y + -1(-7 + 3x) = 0
-3 + 2x + 3y + (-7 * -1 + 3x * -1) = 0
-3 + 2x + 3y + (7 + -3x) = 0

Reorder the terms:
-3 + 7 + 2x + -3x + 3y = 0

Combine like terms: -3 + 7 = 4
4 + 2x + -3x + 3y = 0

Combine like terms: 2x + -3x = -1x
4 + -1x + 3y = 0

Solving
4 + -1x + 3y = 0

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -1x + -4 + 3y = 0 + -4

Reorder the terms:
4 + -4 + -1x + 3y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x + 3y = 0 + -4
-1x + 3y = 0 + -4

Combine like terms: 0 + -4 = -4
-1x + 3y = -4

Add '-3y' to each side of the equation.
-1x + 3y + -3y = -4 + -3y

Combine like terms: 3y + -3y = 0
-1x + 0 = -4 + -3y
-1x = -4 + -3y

Divide each side by '-1'.
x = 4 + 3y

Simplifying
x = 4 + 3y

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