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

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Solution for -5x-1=3(-2x-2)+2+2x equation:


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

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

Reorder the terms:
-1 + -5x = 3(-2 + -2x) + 2 + 2x
-1 + -5x = (-2 * 3 + -2x * 3) + 2 + 2x
-1 + -5x = (-6 + -6x) + 2 + 2x

Reorder the terms:
-1 + -5x = -6 + 2 + -6x + 2x

Combine like terms: -6 + 2 = -4
-1 + -5x = -4 + -6x + 2x

Combine like terms: -6x + 2x = -4x
-1 + -5x = -4 + -4x

Solving
-1 + -5x = -4 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-1 + -5x + 4x = -4 + -4x + 4x

Combine like terms: -5x + 4x = -1x
-1 + -1x = -4 + -4x + 4x

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

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

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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