2x+3(2-x)=5

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

Simplifying
2x + 3(2 + -1x) = 5
2x + (2 * 3 + -1x * 3) = 5
2x + (6 + -3x) = 5

Reorder the terms:
6 + 2x + -3x = 5

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

Solving
6 + -1x = 5

Solving for variable 'x'.

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

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

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

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

Divide each side by '-1'.
x = 1

Simplifying
x = 1