-5r+6=5(r-2)

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

Simplifying
-5r + 6 = 5(r + -2)

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

Reorder the terms:
6 + -5r = 5(-2 + r)
6 + -5r = (-2 * 5 + r * 5)
6 + -5r = (-10 + 5r)

Solving
6 + -5r = -10 + 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 + -5r + -5r = -10 + 5r + -5r

Combine like terms: -5r + -5r = -10r
6 + -10r = -10 + 5r + -5r

Combine like terms: 5r + -5r = 0
6 + -10r = -10 + 0
6 + -10r = -10

Add '-6' to each side of the equation.
6 + -6 + -10r = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -10r = -10 + -6
-10r = -10 + -6

Combine like terms: -10 + -6 = -16
-10r = -16

Divide each side by '-10'.
r = 1.6

Simplifying
r = 1.6