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

Solution for 1-3(2-2x)=5-(1+x)+(3+x) equation:

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

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

Remove parenthesis around (3 + x)
-5 + 6x = 5 + -1 + -1x + 3 + x

Reorder the terms:
-5 + 6x = 5 + -1 + 3 + -1x + x

Combine like terms: 5 + -1 = 4
-5 + 6x = 4 + 3 + -1x + x

Combine like terms: 4 + 3 = 7
-5 + 6x = 7 + -1x + x

Combine like terms: -1x + x = 0
-5 + 6x = 7 + 0
-5 + 6x = 7

Solving
-5 + 6x = 7

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 6x = 7 + 5

Combine like terms: -5 + 5 = 0
0 + 6x = 7 + 5
6x = 7 + 5

Combine like terms: 7 + 5 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2