2-(2-3x)=3(2-x)+5

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Solution for 2-(2-3x)=3(2-x)+5 equation: 


Simplifying
2 + -1(2 + -3x) = 3(2 + -1x) + 5
2 + (2 * -1 + -3x * -1) = 3(2 + -1x) + 5
2 + (-2 + 3x) = 3(2 + -1x) + 5

Combine like terms: 2 + -2 = 0
0 + 3x = 3(2 + -1x) + 5
3x = 3(2 + -1x) + 5
3x = (2 * 3 + -1x * 3) + 5
3x = (6 + -3x) + 5

Reorder the terms:
3x = 6 + 5 + -3x

Combine like terms: 6 + 5 = 11
3x = 11 + -3x

Solving
3x = 11 + -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.
3x + 3x = 11 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
6x = 11 + 0
6x = 11

Divide each side by '6'.
x = 1.833333333

Simplifying
x = 1.833333333

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