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

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


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

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

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

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

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

Solving
2 + x = -16 + 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.
2 + x + -4x = -16 + 4x + -4x

Combine like terms: x + -4x = -3x
2 + -3x = -16 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -3x = -16 + 0
2 + -3x = -16

Add '-2' to each side of the equation.
2 + -2 + -3x = -16 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = -16 + -2
-3x = -16 + -2

Combine like terms: -16 + -2 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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