5r+6=4r+16

Solution for 5r+6=4r+16 equation:

Simplifying
5r + 6 = 4r + 16

Reorder the terms:
6 + 5r = 4r + 16

Reorder the terms:
6 + 5r = 16 + 4r

Solving
6 + 5r = 16 + 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 = 16 + 4r + -4r

Combine like terms: 5r + -4r = 1r
6 + 1r = 16 + 4r + -4r

Combine like terms: 4r + -4r = 0
6 + 1r = 16 + 0
6 + 1r = 16

Add '-6' to each side of the equation.
6 + -6 + 1r = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 1r = 16 + -6
1r = 16 + -6

Combine like terms: 16 + -6 = 10
1r = 10

Divide each side by '1'.
r = 10

Simplifying
r = 10