6-5r=2(2r-6)

Solution for 6-5r=2(2r-6) equation:

Simplifying
6 + -5r = 2(2r + -6)

Reorder the terms:
6 + -5r = 2(-6 + 2r)
6 + -5r = (-6 * 2 + 2r * 2)
6 + -5r = (-12 + 4r)

Solving
6 + -5r = -12 + 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 + -5r + -4r = -12 + 4r + -4r

Combine like terms: -5r + -4r = -9r
6 + -9r = -12 + 4r + -4r

Combine like terms: 4r + -4r = 0
6 + -9r = -12 + 0
6 + -9r = -12

Add '-6' to each side of the equation.
6 + -6 + -9r = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -9r = -12 + -6
-9r = -12 + -6

Combine like terms: -12 + -6 = -18
-9r = -18

Divide each side by '-9'.
r = 2

Simplifying
r = 2