3(r-2)=7r-(6+2r)

Solution for 3(r-2)=7r-(6+2r) equation:

Simplifying
3(r + -2) = 7r + -1(6 + 2r)

Reorder the terms:
3(-2 + r) = 7r + -1(6 + 2r)
(-2 * 3 + r * 3) = 7r + -1(6 + 2r)
(-6 + 3r) = 7r + -1(6 + 2r)
-6 + 3r = 7r + (6 * -1 + 2r * -1)
-6 + 3r = 7r + (-6 + -2r)

Reorder the terms:
-6 + 3r = -6 + 7r + -2r

Combine like terms: 7r + -2r = 5r
-6 + 3r = -6 + 5r

Add '6' to each side of the equation.
-6 + 6 + 3r = -6 + 6 + 5r

Combine like terms: -6 + 6 = 0
0 + 3r = -6 + 6 + 5r
3r = -6 + 6 + 5r

Combine like terms: -6 + 6 = 0
3r = 0 + 5r
3r = 5r

Solving
3r = 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
3r + -5r = 5r + -5r

Combine like terms: 3r + -5r = -2r
-2r = 5r + -5r

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

Divide each side by '-2'.
r = 0

Simplifying
r = 0