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

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


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

Reorder the terms:
4(8 + x) = 8(x + -2)
(8 * 4 + x * 4) = 8(x + -2)
(32 + 4x) = 8(x + -2)

Reorder the terms:
32 + 4x = 8(-2 + x)
32 + 4x = (-2 * 8 + x * 8)
32 + 4x = (-16 + 8x)

Solving
32 + 4x = -16 + 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.
32 + 4x + -8x = -16 + 8x + -8x

Combine like terms: 4x + -8x = -4x
32 + -4x = -16 + 8x + -8x

Combine like terms: 8x + -8x = 0
32 + -4x = -16 + 0
32 + -4x = -16

Add '-32' to each side of the equation.
32 + -32 + -4x = -16 + -32

Combine like terms: 32 + -32 = 0
0 + -4x = -16 + -32
-4x = -16 + -32

Combine like terms: -16 + -32 = -48
-4x = -48

Divide each side by '-4'.
x = 12

Simplifying
x = 12

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