5-6(5-2r)=23+6r

Solution for 5-6(5-2r)=23+6r equation:

Simplifying
5 + -6(5 + -2r) = 23 + 6r
5 + (5 * -6 + -2r * -6) = 23 + 6r
5 + (-30 + 12r) = 23 + 6r

Combine like terms: 5 + -30 = -25
-25 + 12r = 23 + 6r

Solving
-25 + 12r = 23 + 6r

Solving for variable 'r'.

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

Add '-6r' to each side of the equation.
-25 + 12r + -6r = 23 + 6r + -6r

Combine like terms: 12r + -6r = 6r
-25 + 6r = 23 + 6r + -6r

Combine like terms: 6r + -6r = 0
-25 + 6r = 23 + 0
-25 + 6r = 23

Add '25' to each side of the equation.
-25 + 25 + 6r = 23 + 25

Combine like terms: -25 + 25 = 0
0 + 6r = 23 + 25
6r = 23 + 25

Combine like terms: 23 + 25 = 48
6r = 48

Divide each side by '6'.
r = 8

Simplifying
r = 8