2(3-x)=1(x-2)

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Solution for 2(3-x)=1(x-2) equation:


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

Reorder the terms:
6 + -2x = 1(-2 + x)
6 + -2x = (-2 * 1 + x * 1)
6 + -2x = (-2 + 1x)

Solving
6 + -2x = -2 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + -2x + -1x = -2 + 1x + -1x

Combine like terms: -2x + -1x = -3x
6 + -3x = -2 + 1x + -1x

Combine like terms: 1x + -1x = 0
6 + -3x = -2 + 0
6 + -3x = -2

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

Combine like terms: 6 + -6 = 0
0 + -3x = -2 + -6
-3x = -2 + -6

Combine like terms: -2 + -6 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667

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