8(x+8)=5(x-4)

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Solution for 8(x+8)=5(x-4) equation:


Simplifying
8(x + 8) = 5(x + -4)

Reorder the terms:
8(8 + x) = 5(x + -4)
(8 * 8 + x * 8) = 5(x + -4)
(64 + 8x) = 5(x + -4)

Reorder the terms:
64 + 8x = 5(-4 + x)
64 + 8x = (-4 * 5 + x * 5)
64 + 8x = (-20 + 5x)

Solving
64 + 8x = -20 + 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.
64 + 8x + -5x = -20 + 5x + -5x

Combine like terms: 8x + -5x = 3x
64 + 3x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
64 + 3x = -20 + 0
64 + 3x = -20

Add '-64' to each side of the equation.
64 + -64 + 3x = -20 + -64

Combine like terms: 64 + -64 = 0
0 + 3x = -20 + -64
3x = -20 + -64

Combine like terms: -20 + -64 = -84
3x = -84

Divide each side by '3'.
x = -28

Simplifying
x = -28

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