x+1-(3-x)=6-(1-1)

Solution for x+1-(3-x)=6-(1-1) equation:

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

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

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

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

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

Multiply -1 * 0
-2 + 2x = 6 + 0

Anything times zero is zero.
-2 + 2x = 6 + 0

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

Solving
-2 + 2x = 6

Solving for variable 'x'.

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

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

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

Combine like terms: 6 + 2 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4