(5x-5)-(3x+6)=-3

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Solution for (5x-5)-(3x+6)=-3 equation:


Simplifying
(5x + -5) + -1(3x + 6) = -3

Reorder the terms:
(-5 + 5x) + -1(3x + 6) = -3

Remove parenthesis around (-5 + 5x)
-5 + 5x + -1(3x + 6) = -3

Reorder the terms:
-5 + 5x + -1(6 + 3x) = -3
-5 + 5x + (6 * -1 + 3x * -1) = -3
-5 + 5x + (-6 + -3x) = -3

Reorder the terms:
-5 + -6 + 5x + -3x = -3

Combine like terms: -5 + -6 = -11
-11 + 5x + -3x = -3

Combine like terms: 5x + -3x = 2x
-11 + 2x = -3

Solving
-11 + 2x = -3

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 2x = -3 + 11

Combine like terms: -11 + 11 = 0
0 + 2x = -3 + 11
2x = -3 + 11

Combine like terms: -3 + 11 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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