2(x-3)=5-x

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

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

Reorder the terms:
2(-3 + x) = 5 + -1x
(-3 * 2 + x * 2) = 5 + -1x
(-6 + 2x) = 5 + -1x

Solving
-6 + 2x = 5 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + 2x + x = 5 + -1x + x

Combine like terms: 2x + x = 3x
-6 + 3x = 5 + -1x + x

Combine like terms: -1x + x = 0
-6 + 3x = 5 + 0
-6 + 3x = 5

Add '6' to each side of the equation.
-6 + 6 + 3x = 5 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = 5 + 6
3x = 5 + 6

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

Divide each side by '3'.
x = 3.666666667

Simplifying
x = 3.666666667