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

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

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

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

Remove parenthesis around (4 + -2r)
-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 = 5r
-6 + 5r = 4 + -2r + 2r

Combine like terms: -2r + 2r = 0
-6 + 5r = 4 + 0
-6 + 5r = 4

Add '6' to each side of the equation.
-6 + 6 + 5r = 4 + 6

Combine like terms: -6 + 6 = 0
0 + 5r = 4 + 6
5r = 4 + 6

Combine like terms: 4 + 6 = 10
5r = 10

Divide each side by '5'.
r = 2

Simplifying
r = 2