-2x-(3x-8)=-2x-2

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Solution for -2x-(3x-8)=-2x-2 equation:


Simplifying
-2x + -1(3x + -8) = -2x + -2

Reorder the terms:
-2x + -1(-8 + 3x) = -2x + -2
-2x + (-8 * -1 + 3x * -1) = -2x + -2
-2x + (8 + -3x) = -2x + -2

Reorder the terms:
8 + -2x + -3x = -2x + -2

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

Reorder the terms:
8 + -5x = -2 + -2x

Solving
8 + -5x = -2 + -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.
8 + -5x + 2x = -2 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
8 + -3x = -2 + 0
8 + -3x = -2

Add '-8' to each side of the equation.
8 + -8 + -3x = -2 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = -2 + -8
-3x = -2 + -8

Combine like terms: -2 + -8 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333

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