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

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


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

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

Reorder the terms:
10 + 5x = -2(2 + x)
10 + 5x = (2 * -2 + x * -2)
10 + 5x = (-4 + -2x)

Solving
10 + 5x = -4 + -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.
10 + 5x + 2x = -4 + -2x + 2x

Combine like terms: 5x + 2x = 7x
10 + 7x = -4 + -2x + 2x

Combine like terms: -2x + 2x = 0
10 + 7x = -4 + 0
10 + 7x = -4

Add '-10' to each side of the equation.
10 + -10 + 7x = -4 + -10

Combine like terms: 10 + -10 = 0
0 + 7x = -4 + -10
7x = -4 + -10

Combine like terms: -4 + -10 = -14
7x = -14

Divide each side by '7'.
x = -2

Simplifying
x = -2

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