-2r+22=3(r-1)

Solution for -2r+22=3(r-1) equation:

Simplifying
-2r + 22 = 3(r + -1)

Reorder the terms:
22 + -2r = 3(r + -1)

Reorder the terms:
22 + -2r = 3(-1 + r)
22 + -2r = (-1 * 3 + r * 3)
22 + -2r = (-3 + 3r)

Solving
22 + -2r = -3 + 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.
22 + -2r + -3r = -3 + 3r + -3r

Combine like terms: -2r + -3r = -5r
22 + -5r = -3 + 3r + -3r

Combine like terms: 3r + -3r = 0
22 + -5r = -3 + 0
22 + -5r = -3

Add '-22' to each side of the equation.
22 + -22 + -5r = -3 + -22

Combine like terms: 22 + -22 = 0
0 + -5r = -3 + -22
-5r = -3 + -22

Combine like terms: -3 + -22 = -25
-5r = -25

Divide each side by '-5'.
r = 5

Simplifying
r = 5