4(8-3x)=32-8(x+2)

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Solution for 4(8-3x)=32-8(x+2) equation: 


Simplifying
4(8 + -3x) = 32 + -8(x + 2)
(8 * 4 + -3x * 4) = 32 + -8(x + 2)
(32 + -12x) = 32 + -8(x + 2)

Reorder the terms:
32 + -12x = 32 + -8(2 + x)
32 + -12x = 32 + (2 * -8 + x * -8)
32 + -12x = 32 + (-16 + -8x)

Combine like terms: 32 + -16 = 16
32 + -12x = 16 + -8x

Solving
32 + -12x = 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 + -12x + 8x = 16 + -8x + 8x

Combine like terms: -12x + 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 = -16
-4x = -16

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

Simplifying
x = 4

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