4(x+8)=12x+16

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Solution for 4(x+8)=12x+16 equation: 


Simplifying
4(x + 8) = 12x + 16

Reorder the terms:
4(8 + x) = 12x + 16
(8 * 4 + x * 4) = 12x + 16
(32 + 4x) = 12x + 16

Reorder the terms:
32 + 4x = 16 + 12x

Solving
32 + 4x = 16 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
32 + 4x + -12x = 16 + 12x + -12x

Combine like terms: 4x + -12x = -8x
32 + -8x = 16 + 12x + -12x

Combine like terms: 12x + -12x = 0
32 + -8x = 16 + 0
32 + -8x = 16

Add '-32' to each side of the equation.
32 + -32 + -8x = 16 + -32

Combine like terms: 32 + -32 = 0
0 + -8x = 16 + -32
-8x = 16 + -32

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

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

Simplifying
x = 2

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