9(5r-8)=8(6+5r)

Solution for 9(5r-8)=8(6+5r) equation:

Simplifying
9(5r + -8) = 8(6 + 5r)

Reorder the terms:
9(-8 + 5r) = 8(6 + 5r)
(-8 * 9 + 5r * 9) = 8(6 + 5r)
(-72 + 45r) = 8(6 + 5r)
-72 + 45r = (6 * 8 + 5r * 8)
-72 + 45r = (48 + 40r)

Solving
-72 + 45r = 48 + 40r

Solving for variable 'r'.

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

Add '-40r' to each side of the equation.
-72 + 45r + -40r = 48 + 40r + -40r

Combine like terms: 45r + -40r = 5r
-72 + 5r = 48 + 40r + -40r

Combine like terms: 40r + -40r = 0
-72 + 5r = 48 + 0
-72 + 5r = 48

Add '72' to each side of the equation.
-72 + 72 + 5r = 48 + 72

Combine like terms: -72 + 72 = 0
0 + 5r = 48 + 72
5r = 48 + 72

Combine like terms: 48 + 72 = 120
5r = 120

Divide each side by '5'.
r = 24

Simplifying
r = 24