5r-3(r-1)=

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

Simplifying
5r + -3(r + -1) = 0

Reorder the terms:
5r + -3(-1 + r) = 0
5r + (-1 * -3 + r * -3) = 0
5r + (3 + -3r) = 0

Reorder the terms:
3 + 5r + -3r = 0

Combine like terms: 5r + -3r = 2r
3 + 2r = 0

Solving
3 + 2r = 0

Solving for variable 'r'.

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

Add '-3' to each side of the equation.
3 + -3 + 2r = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2r = 0 + -3
2r = 0 + -3

Combine like terms: 0 + -3 = -3
2r = -3

Divide each side by '2'.
r = -1.5

Simplifying
r = -1.5