5-(r+2)=3r-1

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

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

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

Combine like terms: 5 + -2 = 3
3 + -1r = 3r + -1

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

Solving
3 + -1r = -1 + 3r

Solving for variable 'r'.

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

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

Combine like terms: -1r + -3r = -4r
3 + -4r = -1 + 3r + -3r

Combine like terms: 3r + -3r = 0
3 + -4r = -1 + 0
3 + -4r = -1

Add '-3' to each side of the equation.
3 + -3 + -4r = -1 + -3

Combine like terms: 3 + -3 = 0
0 + -4r = -1 + -3
-4r = -1 + -3

Combine like terms: -1 + -3 = -4
-4r = -4

Divide each side by '-4'.
r = 1

Simplifying
r = 1