5+3r-3=8r+6-4r

Solution for 5+3r-3=8r+6-4r equation:

Simplifying
5 + 3r + -3 = 8r + 6 + -4r

Reorder the terms:
5 + -3 + 3r = 8r + 6 + -4r

Combine like terms: 5 + -3 = 2
2 + 3r = 8r + 6 + -4r

Reorder the terms:
2 + 3r = 6 + 8r + -4r

Combine like terms: 8r + -4r = 4r
2 + 3r = 6 + 4r

Solving
2 + 3r = 6 + 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.
2 + 3r + -4r = 6 + 4r + -4r

Combine like terms: 3r + -4r = -1r
2 + -1r = 6 + 4r + -4r

Combine like terms: 4r + -4r = 0
2 + -1r = 6 + 0
2 + -1r = 6

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

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

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

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

Simplifying
r = -4