8*(x+2)=5*(x-4)

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Solution for 8*(x+2)=5*(x-4) equation: 


Simplifying
8(x + 2) = 5(x + -4)

Reorder the terms:
8(2 + x) = 5(x + -4)
(2 * 8 + x * 8) = 5(x + -4)
(16 + 8x) = 5(x + -4)

Reorder the terms:
16 + 8x = 5(-4 + x)
16 + 8x = (-4 * 5 + x * 5)
16 + 8x = (-20 + 5x)

Solving
16 + 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.
16 + 8x + -5x = -20 + 5x + -5x

Combine like terms: 8x + -5x = 3x
16 + 3x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + 3x = -20 + 0
16 + 3x = -20

Add '-16' to each side of the equation.
16 + -16 + 3x = -20 + -16

Combine like terms: 16 + -16 = 0
0 + 3x = -20 + -16
3x = -20 + -16

Combine like terms: -20 + -16 = -36
3x = -36

Divide each side by '3'.
x = -12

Simplifying
x = -12

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