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

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

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

Multiply -1 * -2
x + 1 + 2 = x + 3 + -1(-1x + 1)

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

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

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

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

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

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

Solving
3 + x = 2 + 2x

Solving for variable 'x'.

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

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

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

Combine like terms: 2x + -2x = 0
3 + -1x = 2 + 0
3 + -1x = 2

Add '-3' to each side of the equation.
3 + -3 + -1x = 2 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 2 + -3
-1x = 2 + -3

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

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

Simplifying
x = 1