2r+6=3r+2

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

Simplifying
2r + 6 = 3r + 2

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

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

Solving
6 + 2r = 2 + 3r

Solving for variable 'r'.

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

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

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

Combine like terms: 3r + -3r = 0
6 + -1r = 2 + 0
6 + -1r = 2

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

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

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

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

Simplifying
r = 4