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

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

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

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

Reorder the terms:
-6 + 3r = 5(4 + r)
-6 + 3r = (4 * 5 + r * 5)
-6 + 3r = (20 + 5r)

Solving
-6 + 3r = 20 + 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 + 3r + -5r = 20 + 5r + -5r

Combine like terms: 3r + -5r = -2r
-6 + -2r = 20 + 5r + -5r

Combine like terms: 5r + -5r = 0
-6 + -2r = 20 + 0
-6 + -2r = 20

Add '6' to each side of the equation.
-6 + 6 + -2r = 20 + 6

Combine like terms: -6 + 6 = 0
0 + -2r = 20 + 6
-2r = 20 + 6

Combine like terms: 20 + 6 = 26
-2r = 26

Divide each side by '-2'.
r = -13

Simplifying
r = -13