4r+6=9r-4

Solution for 4r+6=9r-4 equation:

Simplifying
4r + 6 = 9r + -4

Reorder the terms:
6 + 4r = 9r + -4

Reorder the terms:
6 + 4r = -4 + 9r

Solving
6 + 4r = -4 + 9r

Solving for variable 'r'.

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

Add '-9r' to each side of the equation.
6 + 4r + -9r = -4 + 9r + -9r

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

Combine like terms: 9r + -9r = 0
6 + -5r = -4 + 0
6 + -5r = -4

Add '-6' to each side of the equation.
6 + -6 + -5r = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -5r = -4 + -6
-5r = -4 + -6

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

Divide each side by '-5'.
r = 2

Simplifying
r = 2