(2X+16)=(3X-2)

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Solution for (2X+16)=(3X-2) equation:


Simplifying
(2X + 16) = (3X + -2)

Reorder the terms:
(16 + 2X) = (3X + -2)

Remove parenthesis around (16 + 2X)
16 + 2X = (3X + -2)

Reorder the terms:
16 + 2X = (-2 + 3X)

Remove parenthesis around (-2 + 3X)
16 + 2X = -2 + 3X

Solving
16 + 2X = -2 + 3X

Solving for variable 'X'.

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

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

Combine like terms: 2X + -3X = -1X
16 + -1X = -2 + 3X + -3X

Combine like terms: 3X + -3X = 0
16 + -1X = -2 + 0
16 + -1X = -2

Add '-16' to each side of the equation.
16 + -16 + -1X = -2 + -16

Combine like terms: 16 + -16 = 0
0 + -1X = -2 + -16
-1X = -2 + -16

Combine like terms: -2 + -16 = -18
-1X = -18

Divide each side by '-1'.
X = 18

Simplifying
X = 18

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