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

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


Simplifying
5x + 8(2 + x) = -5(2 + -1x)
5x + (2 * 8 + x * 8) = -5(2 + -1x)
5x + (16 + 8x) = -5(2 + -1x)

Reorder the terms:
16 + 5x + 8x = -5(2 + -1x)

Combine like terms: 5x + 8x = 13x
16 + 13x = -5(2 + -1x)
16 + 13x = (2 * -5 + -1x * -5)
16 + 13x = (-10 + 5x)

Solving
16 + 13x = -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.
16 + 13x + -5x = -10 + 5x + -5x

Combine like terms: 13x + -5x = 8x
16 + 8x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + 8x = -10 + 0
16 + 8x = -10

Add '-16' to each side of the equation.
16 + -16 + 8x = -10 + -16

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

Combine like terms: -10 + -16 = -26
8x = -26

Divide each side by '8'.
x = -3.25

Simplifying
x = -3.25

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