3(3r-2)=5r+14

Solution for 3(3r-2)=5r+14 equation:

Simplifying
3(3r + -2) = 5r + 14

Reorder the terms:
3(-2 + 3r) = 5r + 14
(-2 * 3 + 3r * 3) = 5r + 14
(-6 + 9r) = 5r + 14

Reorder the terms:
-6 + 9r = 14 + 5r

Solving
-6 + 9r = 14 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
-6 + 9r + -5r = 14 + 5r + -5r

Combine like terms: 9r + -5r = 4r
-6 + 4r = 14 + 5r + -5r

Combine like terms: 5r + -5r = 0
-6 + 4r = 14 + 0
-6 + 4r = 14

Add '6' to each side of the equation.
-6 + 6 + 4r = 14 + 6

Combine like terms: -6 + 6 = 0
0 + 4r = 14 + 6
4r = 14 + 6

Combine like terms: 14 + 6 = 20
4r = 20

Divide each side by '4'.
r = 5

Simplifying
r = 5