3(2-x)=2(x+8)

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Solution for 3(2-x)=2(x+8) equation: 


Simplifying
3(2 + -1x) = 2(x + 8)
(2 * 3 + -1x * 3) = 2(x + 8)
(6 + -3x) = 2(x + 8)

Reorder the terms:
6 + -3x = 2(8 + x)
6 + -3x = (8 * 2 + x * 2)
6 + -3x = (16 + 2x)

Solving
6 + -3x = 16 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + -3x + -2x = 16 + 2x + -2x

Combine like terms: -3x + -2x = -5x
6 + -5x = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + -5x = 16 + 0
6 + -5x = 16

Add '-6' to each side of the equation.
6 + -6 + -5x = 16 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 16 + -6
-5x = 16 + -6

Combine like terms: 16 + -6 = 10
-5x = 10

Divide each side by '-5'.
x = -2

Simplifying
x = -2

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