3(2-12r)=3r+4(3-10r)

Solution for 3(2-12r)=3r+4(3-10r) equation:

Simplifying
3(2 + -12r) = 3r + 4(3 + -10r)
(2 * 3 + -12r * 3) = 3r + 4(3 + -10r)
(6 + -36r) = 3r + 4(3 + -10r)
6 + -36r = 3r + (3 * 4 + -10r * 4)
6 + -36r = 3r + (12 + -40r)

Reorder the terms:
6 + -36r = 12 + 3r + -40r

Combine like terms: 3r + -40r = -37r
6 + -36r = 12 + -37r

Solving
6 + -36r = 12 + -37r

Solving for variable 'r'.

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

Add '37r' to each side of the equation.
6 + -36r + 37r = 12 + -37r + 37r

Combine like terms: -36r + 37r = 1r
6 + 1r = 12 + -37r + 37r

Combine like terms: -37r + 37r = 0
6 + 1r = 12 + 0
6 + 1r = 12

Add '-6' to each side of the equation.
6 + -6 + 1r = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 1r = 12 + -6
1r = 12 + -6

Combine like terms: 12 + -6 = 6
1r = 6

Divide each side by '1'.
r = 6

Simplifying
r = 6