2(2r+1)=3r-6

Solution for 2(2r+1)=3r-6 equation:

Simplifying
2(2r + 1) = 3r + -6

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

Reorder the terms:
2 + 4r = -6 + 3r

Solving
2 + 4r = -6 + 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.
2 + 4r + -3r = -6 + 3r + -3r

Combine like terms: 4r + -3r = 1r
2 + 1r = -6 + 3r + -3r

Combine like terms: 3r + -3r = 0
2 + 1r = -6 + 0
2 + 1r = -6

Add '-2' to each side of the equation.
2 + -2 + 1r = -6 + -2

Combine like terms: 2 + -2 = 0
0 + 1r = -6 + -2
1r = -6 + -2

Combine like terms: -6 + -2 = -8
1r = -8

Divide each side by '1'.
r = -8

Simplifying
r = -8