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

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

Simplifying
2(3 + -2r) = 3(r + -7)
(3 * 2 + -2r * 2) = 3(r + -7)
(6 + -4r) = 3(r + -7)

Reorder the terms:
6 + -4r = 3(-7 + r)
6 + -4r = (-7 * 3 + r * 3)
6 + -4r = (-21 + 3r)

Solving
6 + -4r = -21 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
6 + -4r + -3r = -21 + 3r + -3r

Combine like terms: -4r + -3r = -7r
6 + -7r = -21 + 3r + -3r

Combine like terms: 3r + -3r = 0
6 + -7r = -21 + 0
6 + -7r = -21

Add '-6' to each side of the equation.
6 + -6 + -7r = -21 + -6

Combine like terms: 6 + -6 = 0
0 + -7r = -21 + -6
-7r = -21 + -6

Combine like terms: -21 + -6 = -27
-7r = -27

Divide each side by '-7'.
r = 3.857142857

Simplifying
r = 3.857142857