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

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


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

Reorder the terms:
-5(2 + x) = -1x + -2
(2 * -5 + x * -5) = -1x + -2
(-10 + -5x) = -1x + -2

Reorder the terms:
-10 + -5x = -2 + -1x

Solving
-10 + -5x = -2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-10 + -5x + x = -2 + -1x + x

Combine like terms: -5x + x = -4x
-10 + -4x = -2 + -1x + x

Combine like terms: -1x + x = 0
-10 + -4x = -2 + 0
-10 + -4x = -2

Add '10' to each side of the equation.
-10 + 10 + -4x = -2 + 10

Combine like terms: -10 + 10 = 0
0 + -4x = -2 + 10
-4x = -2 + 10

Combine like terms: -2 + 10 = 8
-4x = 8

Divide each side by '-4'.
x = -2

Simplifying
x = -2

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