2r-6=6r+42

Solution for 2r-6=6r+42 equation:

Simplifying
2r + -6 = 6r + 42

Reorder the terms:
-6 + 2r = 6r + 42

Reorder the terms:
-6 + 2r = 42 + 6r

Solving
-6 + 2r = 42 + 6r

Solving for variable 'r'.

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

Add '-6r' to each side of the equation.
-6 + 2r + -6r = 42 + 6r + -6r

Combine like terms: 2r + -6r = -4r
-6 + -4r = 42 + 6r + -6r

Combine like terms: 6r + -6r = 0
-6 + -4r = 42 + 0
-6 + -4r = 42

Add '6' to each side of the equation.
-6 + 6 + -4r = 42 + 6

Combine like terms: -6 + 6 = 0
0 + -4r = 42 + 6
-4r = 42 + 6

Combine like terms: 42 + 6 = 48
-4r = 48

Divide each side by '-4'.
r = -12

Simplifying
r = -12