3+2r-1=6r+3-3

Solution for 3+2r-1=6r+3-3 equation:

Simplifying
3 + 2r + -1 = 6r + 3 + -3

Reorder the terms:
3 + -1 + 2r = 6r + 3 + -3

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

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

Combine like terms: 3 + -3 = 0
2 + 2r = 0 + 6r
2 + 2r = 6r

Solving
2 + 2r = 6r

Solving for variable 'r'.

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

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

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

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

Add '-2' to each side of the equation.
2 + -2 + -4r = 0 + -2

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

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

Divide each side by '-4'.
r = 0.5

Simplifying
r = 0.5