3(2r+2)=4(2r-1)

Solution for 3(2r+2)=4(2r-1) equation:

Simplifying
3(2r + 2) = 4(2r + -1)

Reorder the terms:
3(2 + 2r) = 4(2r + -1)
(2 * 3 + 2r * 3) = 4(2r + -1)
(6 + 6r) = 4(2r + -1)

Reorder the terms:
6 + 6r = 4(-1 + 2r)
6 + 6r = (-1 * 4 + 2r * 4)
6 + 6r = (-4 + 8r)

Solving
6 + 6r = -4 + 8r

Solving for variable 'r'.

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

Add '-8r' to each side of the equation.
6 + 6r + -8r = -4 + 8r + -8r

Combine like terms: 6r + -8r = -2r
6 + -2r = -4 + 8r + -8r

Combine like terms: 8r + -8r = 0
6 + -2r = -4 + 0
6 + -2r = -4

Add '-6' to each side of the equation.
6 + -6 + -2r = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -2r = -4 + -6
-2r = -4 + -6

Combine like terms: -4 + -6 = -10
-2r = -10

Divide each side by '-2'.
r = 5

Simplifying
r = 5