6(r+5)=7r

Solution for 6(r+5)=7r equation:

Simplifying
6(r + 5) = 7r

Reorder the terms:
6(5 + r) = 7r
(5 * 6 + r * 6) = 7r
(30 + 6r) = 7r

Solving
30 + 6r = 7r

Solving for variable 'r'.

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

Add '-7r' to each side of the equation.
30 + 6r + -7r = 7r + -7r

Combine like terms: 6r + -7r = -1r
30 + -1r = 7r + -7r

Combine like terms: 7r + -7r = 0
30 + -1r = 0

Add '-30' to each side of the equation.
30 + -30 + -1r = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1r = 0 + -30
-1r = 0 + -30

Combine like terms: 0 + -30 = -30
-1r = -30

Divide each side by '-1'.
r = 30

Simplifying
r = 30