-2(3x-3)-5=-2x+13

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Solution for -2(3x-3)-5=-2x+13 equation:


Simplifying
-2(3x + -3) + -5 = -2x + 13

Reorder the terms:
-2(-3 + 3x) + -5 = -2x + 13
(-3 * -2 + 3x * -2) + -5 = -2x + 13
(6 + -6x) + -5 = -2x + 13

Reorder the terms:
6 + -5 + -6x = -2x + 13

Combine like terms: 6 + -5 = 1
1 + -6x = -2x + 13

Reorder the terms:
1 + -6x = 13 + -2x

Solving
1 + -6x = 13 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
1 + -6x + 2x = 13 + -2x + 2x

Combine like terms: -6x + 2x = -4x
1 + -4x = 13 + -2x + 2x

Combine like terms: -2x + 2x = 0
1 + -4x = 13 + 0
1 + -4x = 13

Add '-1' to each side of the equation.
1 + -1 + -4x = 13 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 13 + -1
-4x = 13 + -1

Combine like terms: 13 + -1 = 12
-4x = 12

Divide each side by '-4'.
x = -3

Simplifying
x = -3

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