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

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

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

Remove parenthesis around (3 + -1x)
2x + 3 + -1x = 5 + -1(3 + 1)

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

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

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

Multiply -1 * 4
3 + 1x = 5 + -4

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

Solving
3 + 1x = 1

Solving for variable 'x'.

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

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

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

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

Divide each side by '1'.
x = -2

Simplifying
x = -2