3(5r+2)=12r-7

Solution for 3(5r+2)=12r-7 equation:

Simplifying
3(5r + 2) = 12r + -7

Reorder the terms:
3(2 + 5r) = 12r + -7
(2 * 3 + 5r * 3) = 12r + -7
(6 + 15r) = 12r + -7

Reorder the terms:
6 + 15r = -7 + 12r

Solving
6 + 15r = -7 + 12r

Solving for variable 'r'.

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

Add '-12r' to each side of the equation.
6 + 15r + -12r = -7 + 12r + -12r

Combine like terms: 15r + -12r = 3r
6 + 3r = -7 + 12r + -12r

Combine like terms: 12r + -12r = 0
6 + 3r = -7 + 0
6 + 3r = -7

Add '-6' to each side of the equation.
6 + -6 + 3r = -7 + -6

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

Combine like terms: -7 + -6 = -13
3r = -13

Divide each side by '3'.
r = -4.333333333

Simplifying
r = -4.333333333