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

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

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

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

Combine like terms: 5 + -3 = 2
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 'x' to each side of the equation.
6 + -2x + x = 2 + -1x + x

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

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

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

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

Combine like terms: 2 + -6 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4