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

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


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

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

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

Solving
10 + 5x = -10 + -5x

Solving for variable 'x'.

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

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

Combine like terms: 5x + 5x = 10x
10 + 10x = -10 + -5x + 5x

Combine like terms: -5x + 5x = 0
10 + 10x = -10 + 0
10 + 10x = -10

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

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

Combine like terms: -10 + -10 = -20
10x = -20

Divide each side by '10'.
x = -2

Simplifying
x = -2

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