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

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

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

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

Solving
6 + 3r = 2 + 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
6 + 3r + -4r = 2 + 4r + -4r

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

Combine like terms: 4r + -4r = 0
6 + -1r = 2 + 0
6 + -1r = 2

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

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

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

Divide each side by '-1'.
r = 4

Simplifying
r = 4