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

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


Simplifying
2(8 + -1x) = 3(x + 2)
(8 * 2 + -1x * 2) = 3(x + 2)
(16 + -2x) = 3(x + 2)

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

Solving
16 + -2x = 6 + 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 = 6 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
16 + -5x = 6 + 0
16 + -5x = 6

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

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

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

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

Simplifying
x = 2

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