4(x+8)=2x+16

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Solution for 4(x+8)=2x+16 equation: 


Simplifying
4(x + 8) = 2x + 16

Reorder the terms:
4(8 + x) = 2x + 16
(8 * 4 + x * 4) = 2x + 16
(32 + 4x) = 2x + 16

Reorder the terms:
32 + 4x = 16 + 2x

Solving
32 + 4x = 16 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
32 + 4x + -2x = 16 + 2x + -2x

Combine like terms: 4x + -2x = 2x
32 + 2x = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0
32 + 2x = 16 + 0
32 + 2x = 16

Add '-32' to each side of the equation.
32 + -32 + 2x = 16 + -32

Combine like terms: 32 + -32 = 0
0 + 2x = 16 + -32
2x = 16 + -32

Combine like terms: 16 + -32 = -16
2x = -16

Divide each side by '2'.
x = -8

Simplifying
x = -8

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