4r-6=2r+10

Solution for 4r-6=2r+10 equation:

Simplifying
4r + -6 = 2r + 10

Reorder the terms:
-6 + 4r = 2r + 10

Reorder the terms:
-6 + 4r = 10 + 2r

Solving
-6 + 4r = 10 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
-6 + 4r + -2r = 10 + 2r + -2r

Combine like terms: 4r + -2r = 2r
-6 + 2r = 10 + 2r + -2r

Combine like terms: 2r + -2r = 0
-6 + 2r = 10 + 0
-6 + 2r = 10

Add '6' to each side of the equation.
-6 + 6 + 2r = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 2r = 10 + 6
2r = 10 + 6

Combine like terms: 10 + 6 = 16
2r = 16

Divide each side by '2'.
r = 8

Simplifying
r = 8