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

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

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

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

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

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

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

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

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

Solving
-1 + -1x = 0

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + -1x = 0 + 1

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

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

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

Simplifying
x = -1