4r-5=3(r+2)

Solution for 4r-5=3(r+2) equation:

Simplifying
4r + -5 = 3(r + 2)

Reorder the terms:
-5 + 4r = 3(r + 2)

Reorder the terms:
-5 + 4r = 3(2 + r)
-5 + 4r = (2 * 3 + r * 3)
-5 + 4r = (6 + 3r)

Solving
-5 + 4r = 6 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
-5 + 4r + -3r = 6 + 3r + -3r

Combine like terms: 4r + -3r = 1r
-5 + 1r = 6 + 3r + -3r

Combine like terms: 3r + -3r = 0
-5 + 1r = 6 + 0
-5 + 1r = 6

Add '5' to each side of the equation.
-5 + 5 + 1r = 6 + 5

Combine like terms: -5 + 5 = 0
0 + 1r = 6 + 5
1r = 6 + 5

Combine like terms: 6 + 5 = 11
1r = 11

Divide each side by '1'.
r = 11

Simplifying
r = 11