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

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


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

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

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

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

Combine like terms: 6x + -1x = 5x
-2 + 5x = 1 + 1x + -1x

Combine like terms: 1x + -1x = 0
-2 + 5x = 1 + 0
-2 + 5x = 1

Add '2' to each side of the equation.
-2 + 2 + 5x = 1 + 2

Combine like terms: -2 + 2 = 0
0 + 5x = 1 + 2
5x = 1 + 2

Combine like terms: 1 + 2 = 3
5x = 3

Divide each side by '5'.
x = 0.6

Simplifying
x = 0.6

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