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

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


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

Reorder the terms:
2(-2 + 2x) + -3(3x + 3) = -5
(-2 * 2 + 2x * 2) + -3(3x + 3) = -5
(-4 + 4x) + -3(3x + 3) = -5

Reorder the terms:
-4 + 4x + -3(3 + 3x) = -5
-4 + 4x + (3 * -3 + 3x * -3) = -5
-4 + 4x + (-9 + -9x) = -5

Reorder the terms:
-4 + -9 + 4x + -9x = -5

Combine like terms: -4 + -9 = -13
-13 + 4x + -9x = -5

Combine like terms: 4x + -9x = -5x
-13 + -5x = -5

Solving
-13 + -5x = -5

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + -5x = -5 + 13

Combine like terms: -13 + 13 = 0
0 + -5x = -5 + 13
-5x = -5 + 13

Combine like terms: -5 + 13 = 8
-5x = 8

Divide each side by '-5'.
x = -1.6

Simplifying
x = -1.6

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