3-(x-1)=5+2

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

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

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

Combine like terms: 3 + 1 = 4
4 + -1x = 5 + 2

Combine like terms: 5 + 2 = 7
4 + -1x = 7

Solving
4 + -1x = 7

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 7 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 7 + -4
-1x = 7 + -4

Combine like terms: 7 + -4 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3