3(r-2)=2r+4

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

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

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

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

Solving
-6 + 3r = 4 + 2r

Solving for variable 'r'.

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

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

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

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

Add '6' to each side of the equation.
-6 + 6 + 1r = 4 + 6

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

Combine like terms: 4 + 6 = 10
1r = 10

Divide each side by '1'.
r = 10

Simplifying
r = 10