3-(x+1)=2+(x+4)

Solution for 3-(x+1)=2+(x+4) equation:

Simplifying
3 + -1(x + 1) = 2 + (x + 4)

Reorder the terms:
3 + -1(1 + x) = 2 + (x + 4)
3 + (1 * -1 + x * -1) = 2 + (x + 4)
3 + (-1 + -1x) = 2 + (x + 4)

Combine like terms: 3 + -1 = 2
2 + -1x = 2 + (x + 4)

Reorder the terms:
2 + -1x = 2 + (4 + x)

Remove parenthesis around (4 + x)
2 + -1x = 2 + 4 + x

Combine like terms: 2 + 4 = 6
2 + -1x = 6 + x

Solving
2 + -1x = 6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
2 + -1x + -1x = 6 + x + -1x

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

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

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 = 4
-2x = 4

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

Simplifying
x = -2