4r+6=6r-6

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

Simplifying
4r + 6 = 6r + -6

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

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

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

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

Combine like terms: 6r + -6r = 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