5r+3=2r+6

Solution for 5r+3=2r+6 equation:

Simplifying
5r + 3 = 2r + 6

Reorder the terms:
3 + 5r = 2r + 6

Reorder the terms:
3 + 5r = 6 + 2r

Solving
3 + 5r = 6 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
3 + 5r + -2r = 6 + 2r + -2r

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

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

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

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

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

Divide each side by '3'.
r = 1

Simplifying
r = 1