5r+4r-6=10

Solution for 5r+4r-6=10 equation:

Simplifying
5r + 4r + -6 = 10

Reorder the terms:
-6 + 5r + 4r = 10

Combine like terms: 5r + 4r = 9r
-6 + 9r = 10

Solving
-6 + 9r = 10

Solving for variable 'r'.

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

Add '6' to each side of the equation.
-6 + 6 + 9r = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 9r = 10 + 6
9r = 10 + 6

Combine like terms: 10 + 6 = 16
9r = 16

Divide each side by '9'.
r = 1.777777778

Simplifying
r = 1.777777778