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

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


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

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

Solving
6 + -3x = -16 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + -3x + -8x = -16 + 8x + -8x

Combine like terms: -3x + -8x = -11x
6 + -11x = -16 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -11x = -16 + 0
6 + -11x = -16

Add '-6' to each side of the equation.
6 + -6 + -11x = -16 + -6

Combine like terms: 6 + -6 = 0
0 + -11x = -16 + -6
-11x = -16 + -6

Combine like terms: -16 + -6 = -22
-11x = -22

Divide each side by '-11'.
x = 2

Simplifying
x = 2

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