6-(-5r)=4r-3

Solution for 6-(-5r)=4r-3 equation:

Simplifying
6 + -1(-5r) = 4r + -3

Remove parenthesis around (-5r)
6 + -1 * -5r = 4r + -3

Multiply -1 * -5
6 + 5r = 4r + -3

Reorder the terms:
6 + 5r = -3 + 4r

Solving
6 + 5r = -3 + 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
6 + 5r + -4r = -3 + 4r + -4r

Combine like terms: 5r + -4r = 1r
6 + 1r = -3 + 4r + -4r

Combine like terms: 4r + -4r = 0
6 + 1r = -3 + 0
6 + 1r = -3

Add '-6' to each side of the equation.
6 + -6 + 1r = -3 + -6

Combine like terms: 6 + -6 = 0
0 + 1r = -3 + -6
1r = -3 + -6

Combine like terms: -3 + -6 = -9
1r = -9

Divide each side by '1'.
r = -9

Simplifying
r = -9