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

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


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

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

Reorder the terms:
32 + 8x = 4(16 + x)
32 + 8x = (16 * 4 + x * 4)
32 + 8x = (64 + 4x)

Solving
32 + 8x = 64 + 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 + 8x + -4x = 64 + 4x + -4x

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

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

Add '-32' to each side of the equation.
32 + -32 + 4x = 64 + -32

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

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

Divide each side by '4'.
x = 8

Simplifying
x = 8

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