4(x+8)=-4(x-24)

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Solution for 4(x+8)=-4(x-24) equation: 


Simplifying
4(x + 8) = -4(x + -24)

Reorder the terms:
4(8 + x) = -4(x + -24)
(8 * 4 + x * 4) = -4(x + -24)
(32 + 4x) = -4(x + -24)

Reorder the terms:
32 + 4x = -4(-24 + x)
32 + 4x = (-24 * -4 + x * -4)
32 + 4x = (96 + -4x)

Solving
32 + 4x = 96 + -4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4x' to each side of the equation.
32 + 4x + 4x = 96 + -4x + 4x

Combine like terms: 4x + 4x = 8x
32 + 8x = 96 + -4x + 4x

Combine like terms: -4x + 4x = 0
32 + 8x = 96 + 0
32 + 8x = 96

Add '-32' to each side of the equation.
32 + -32 + 8x = 96 + -32

Combine like terms: 32 + -32 = 0
0 + 8x = 96 + -32
8x = 96 + -32

Combine like terms: 96 + -32 = 64
8x = 64

Divide each side by '8'.
x = 8

Simplifying
x = 8

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