5r-6+4r=-r+2

Solution for 5r-6+4r=-r+2 equation:

Simplifying
5r + -6 + 4r = -1r + 2

Reorder the terms:
-6 + 5r + 4r = -1r + 2

Combine like terms: 5r + 4r = 9r
-6 + 9r = -1r + 2

Reorder the terms:
-6 + 9r = 2 + -1r

Solving
-6 + 9r = 2 + -1r

Solving for variable 'r'.

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

Add 'r' to each side of the equation.
-6 + 9r + r = 2 + -1r + r

Combine like terms: 9r + r = 10r
-6 + 10r = 2 + -1r + r

Combine like terms: -1r + r = 0
-6 + 10r = 2 + 0
-6 + 10r = 2

Add '6' to each side of the equation.
-6 + 6 + 10r = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 10r = 2 + 6
10r = 2 + 6

Combine like terms: 2 + 6 = 8
10r = 8

Divide each side by '10'.
r = 0.8

Simplifying
r = 0.8