2(x+8)=-2(x+3)-5x

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Solution for 2(x+8)=-2(x+3)-5x equation: 


Simplifying
2(x + 8) = -2(x + 3) + -5x

Reorder the terms:
2(8 + x) = -2(x + 3) + -5x
(8 * 2 + x * 2) = -2(x + 3) + -5x
(16 + 2x) = -2(x + 3) + -5x

Reorder the terms:
16 + 2x = -2(3 + x) + -5x
16 + 2x = (3 * -2 + x * -2) + -5x
16 + 2x = (-6 + -2x) + -5x

Combine like terms: -2x + -5x = -7x
16 + 2x = -6 + -7x

Solving
16 + 2x = -6 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
16 + 2x + 7x = -6 + -7x + 7x

Combine like terms: 2x + 7x = 9x
16 + 9x = -6 + -7x + 7x

Combine like terms: -7x + 7x = 0
16 + 9x = -6 + 0
16 + 9x = -6

Add '-16' to each side of the equation.
16 + -16 + 9x = -6 + -16

Combine like terms: 16 + -16 = 0
0 + 9x = -6 + -16
9x = -6 + -16

Combine like terms: -6 + -16 = -22
9x = -22

Divide each side by '9'.
x = -2.444444444

Simplifying
x = -2.444444444

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