2(x+8)=3(6-x)

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Solution for 2(x+8)=3(6-x) equation: 


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

Reorder the terms:
2(8 + x) = 3(6 + -1x)
(8 * 2 + x * 2) = 3(6 + -1x)
(16 + 2x) = 3(6 + -1x)
16 + 2x = (6 * 3 + -1x * 3)
16 + 2x = (18 + -3x)

Solving
16 + 2x = 18 + -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 = 18 + -3x + 3x

Combine like terms: 2x + 3x = 5x
16 + 5x = 18 + -3x + 3x

Combine like terms: -3x + 3x = 0
16 + 5x = 18 + 0
16 + 5x = 18

Add '-16' to each side of the equation.
16 + -16 + 5x = 18 + -16

Combine like terms: 16 + -16 = 0
0 + 5x = 18 + -16
5x = 18 + -16

Combine like terms: 18 + -16 = 2
5x = 2

Divide each side by '5'.
x = 0.4

Simplifying
x = 0.4

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