5(x+2)=-2(x+9)

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Solution for 5(x+2)=-2(x+9) equation:


Simplifying
5(x + 2) = -2(x + 9)

Reorder the terms:
5(2 + x) = -2(x + 9)
(2 * 5 + x * 5) = -2(x + 9)
(10 + 5x) = -2(x + 9)

Reorder the terms:
10 + 5x = -2(9 + x)
10 + 5x = (9 * -2 + x * -2)
10 + 5x = (-18 + -2x)

Solving
10 + 5x = -18 + -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 = -18 + -2x + 2x

Combine like terms: 5x + 2x = 7x
10 + 7x = -18 + -2x + 2x

Combine like terms: -2x + 2x = 0
10 + 7x = -18 + 0
10 + 7x = -18

Add '-10' to each side of the equation.
10 + -10 + 7x = -18 + -10

Combine like terms: 10 + -10 = 0
0 + 7x = -18 + -10
7x = -18 + -10

Combine like terms: -18 + -10 = -28
7x = -28

Divide each side by '7'.
x = -4

Simplifying
x = -4

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