(2x-5)-(-3x+3)=7

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Solution for (2x-5)-(-3x+3)=7 equation:


Simplifying
(2x + -5) + -1(-3x + 3) = 7

Reorder the terms:
(-5 + 2x) + -1(-3x + 3) = 7

Remove parenthesis around (-5 + 2x)
-5 + 2x + -1(-3x + 3) = 7

Reorder the terms:
-5 + 2x + -1(3 + -3x) = 7
-5 + 2x + (3 * -1 + -3x * -1) = 7
-5 + 2x + (-3 + 3x) = 7

Reorder the terms:
-5 + -3 + 2x + 3x = 7

Combine like terms: -5 + -3 = -8
-8 + 2x + 3x = 7

Combine like terms: 2x + 3x = 5x
-8 + 5x = 7

Solving
-8 + 5x = 7

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 5x = 7 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = 7 + 8
5x = 7 + 8

Combine like terms: 7 + 8 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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