3(r+2)=7r-3

Solution for 3(r+2)=7r-3 equation:

Simplifying
3(r + 2) = 7r + -3

Reorder the terms:
3(2 + r) = 7r + -3
(2 * 3 + r * 3) = 7r + -3
(6 + 3r) = 7r + -3

Reorder the terms:
6 + 3r = -3 + 7r

Solving
6 + 3r = -3 + 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.
6 + 3r + -7r = -3 + 7r + -7r

Combine like terms: 3r + -7r = -4r
6 + -4r = -3 + 7r + -7r

Combine like terms: 7r + -7r = 0
6 + -4r = -3 + 0
6 + -4r = -3

Add '-6' to each side of the equation.
6 + -6 + -4r = -3 + -6

Combine like terms: 6 + -6 = 0
0 + -4r = -3 + -6
-4r = -3 + -6

Combine like terms: -3 + -6 = -9
-4r = -9

Divide each side by '-4'.
r = 2.25

Simplifying
r = 2.25