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

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


Simplifying
4(4 + -3x) = 32 + -8(x + 2)
(4 * 4 + -3x * 4) = 32 + -8(x + 2)
(16 + -12x) = 32 + -8(x + 2)

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

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

Add '-16' to each side of the equation.
16 + -16 + -12x = 16 + -16 + -8x

Combine like terms: 16 + -16 = 0
0 + -12x = 16 + -16 + -8x
-12x = 16 + -16 + -8x

Combine like terms: 16 + -16 = 0
-12x = 0 + -8x
-12x = -8x

Solving
-12x = -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.
-12x + 8x = -8x + 8x

Combine like terms: -12x + 8x = -4x
-4x = -8x + 8x

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

Divide each side by '-4'.
x = 0

Simplifying
x = 0

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