3(x+4)+2=2+5(x-4)

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Solution for 3(x+4)+2=2+5(x-4) equation:


Simplifying
3(x + 4) + 2 = 2 + 5(x + -4)

Reorder the terms:
3(4 + x) + 2 = 2 + 5(x + -4)
(4 * 3 + x * 3) + 2 = 2 + 5(x + -4)
(12 + 3x) + 2 = 2 + 5(x + -4)

Reorder the terms:
12 + 2 + 3x = 2 + 5(x + -4)

Combine like terms: 12 + 2 = 14
14 + 3x = 2 + 5(x + -4)

Reorder the terms:
14 + 3x = 2 + 5(-4 + x)
14 + 3x = 2 + (-4 * 5 + x * 5)
14 + 3x = 2 + (-20 + 5x)

Combine like terms: 2 + -20 = -18
14 + 3x = -18 + 5x

Solving
14 + 3x = -18 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
14 + 3x + -5x = -18 + 5x + -5x

Combine like terms: 3x + -5x = -2x
14 + -2x = -18 + 5x + -5x

Combine like terms: 5x + -5x = 0
14 + -2x = -18 + 0
14 + -2x = -18

Add '-14' to each side of the equation.
14 + -14 + -2x = -18 + -14

Combine like terms: 14 + -14 = 0
0 + -2x = -18 + -14
-2x = -18 + -14

Combine like terms: -18 + -14 = -32
-2x = -32

Divide each side by '-2'.
x = 16

Simplifying
x = 16

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