(2x-4)+16=4(x+2)

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


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

Reorder the terms:
(-4 + 2x) + 16 = 4(x + 2)

Remove parenthesis around (-4 + 2x)
-4 + 2x + 16 = 4(x + 2)

Reorder the terms:
-4 + 16 + 2x = 4(x + 2)

Combine like terms: -4 + 16 = 12
12 + 2x = 4(x + 2)

Reorder the terms:
12 + 2x = 4(2 + x)
12 + 2x = (2 * 4 + x * 4)
12 + 2x = (8 + 4x)

Solving
12 + 2x = 8 + 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.
12 + 2x + -4x = 8 + 4x + -4x

Combine like terms: 2x + -4x = -2x
12 + -2x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + -2x = 8 + 0
12 + -2x = 8

Add '-12' to each side of the equation.
12 + -12 + -2x = 8 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = 8 + -12
-2x = 8 + -12

Combine like terms: 8 + -12 = -4
-2x = -4

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

Simplifying
x = 2

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