-5(6-r)=3(9r-2)

Solution for -5(6-r)=3(9r-2) equation:

Simplifying
-5(6 + -1r) = 3(9r + -2)
(6 * -5 + -1r * -5) = 3(9r + -2)
(-30 + 5r) = 3(9r + -2)

Reorder the terms:
-30 + 5r = 3(-2 + 9r)
-30 + 5r = (-2 * 3 + 9r * 3)
-30 + 5r = (-6 + 27r)

Solving
-30 + 5r = -6 + 27r

Solving for variable 'r'.

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

Add '-27r' to each side of the equation.
-30 + 5r + -27r = -6 + 27r + -27r

Combine like terms: 5r + -27r = -22r
-30 + -22r = -6 + 27r + -27r

Combine like terms: 27r + -27r = 0
-30 + -22r = -6 + 0
-30 + -22r = -6

Add '30' to each side of the equation.
-30 + 30 + -22r = -6 + 30

Combine like terms: -30 + 30 = 0
0 + -22r = -6 + 30
-22r = -6 + 30

Combine like terms: -6 + 30 = 24
-22r = 24

Divide each side by '-22'.
r = -1.090909091

Simplifying
r = -1.090909091