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

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


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

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

Reorder the terms:
16 + 8x = 5(-2 + x)
16 + 8x = (-2 * 5 + x * 5)
16 + 8x = (-10 + 5x)

Solving
16 + 8x = -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 + 8x + -5x = -10 + 5x + -5x

Combine like terms: 8x + -5x = 3x
16 + 3x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + 3x = -10 + 0
16 + 3x = -10

Add '-16' to each side of the equation.
16 + -16 + 3x = -10 + -16

Combine like terms: 16 + -16 = 0
0 + 3x = -10 + -16
3x = -10 + -16

Combine like terms: -10 + -16 = -26
3x = -26

Divide each side by '3'.
x = -8.666666667

Simplifying
x = -8.666666667

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