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

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


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

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

Reorder the terms:
16 + 2x = -3(3 + x) + -5x
16 + 2x = (3 * -3 + x * -3) + -5x
16 + 2x = (-9 + -3x) + -5x

Combine like terms: -3x + -5x = -8x
16 + 2x = -9 + -8x

Solving
16 + 2x = -9 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
16 + 2x + 8x = -9 + -8x + 8x

Combine like terms: 2x + 8x = 10x
16 + 10x = -9 + -8x + 8x

Combine like terms: -8x + 8x = 0
16 + 10x = -9 + 0
16 + 10x = -9

Add '-16' to each side of the equation.
16 + -16 + 10x = -9 + -16

Combine like terms: 16 + -16 = 0
0 + 10x = -9 + -16
10x = -9 + -16

Combine like terms: -9 + -16 = -25
10x = -25

Divide each side by '10'.
x = -2.5

Simplifying
x = -2.5

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