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

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

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

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

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

Solving
-1 + -2x = 3 + -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.
-1 + -2x + x = 3 + -1x + x

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

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

Add '1' to each side of the equation.
-1 + 1 + -1x = 3 + 1

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

Combine like terms: 3 + 1 = 4
-1x = 4

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

Simplifying
x = -4