2r+6=4r-6

Solution for 2r+6=4r-6 equation:

Simplifying
2r + 6 = 4r + -6

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

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

Solving
6 + 2r = -6 + 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 + 2r + -4r = -6 + 4r + -4r

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

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

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

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

Combine like terms: -6 + -6 = -12
-2r = -12

Divide each side by '-2'.
r = 6

Simplifying
r = 6