4(x+16)=-4(x-8)

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Solution for 4(x+16)=-4(x-8) equation:


Simplifying
4(x + 16) = -4(x + -8)

Reorder the terms:
4(16 + x) = -4(x + -8)
(16 * 4 + x * 4) = -4(x + -8)
(64 + 4x) = -4(x + -8)

Reorder the terms:
64 + 4x = -4(-8 + x)
64 + 4x = (-8 * -4 + x * -4)
64 + 4x = (32 + -4x)

Solving
64 + 4x = 32 + -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.
64 + 4x + 4x = 32 + -4x + 4x

Combine like terms: 4x + 4x = 8x
64 + 8x = 32 + -4x + 4x

Combine like terms: -4x + 4x = 0
64 + 8x = 32 + 0
64 + 8x = 32

Add '-64' to each side of the equation.
64 + -64 + 8x = 32 + -64

Combine like terms: 64 + -64 = 0
0 + 8x = 32 + -64
8x = 32 + -64

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

Divide each side by '8'.
x = -4

Simplifying
x = -4

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