7r+6=19r+10

Solution for 7r+6=19r+10 equation:

Simplifying
7r + 6 = 19r + 10

Reorder the terms:
6 + 7r = 19r + 10

Reorder the terms:
6 + 7r = 10 + 19r

Solving
6 + 7r = 10 + 19r

Solving for variable 'r'.

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

Add '-19r' to each side of the equation.
6 + 7r + -19r = 10 + 19r + -19r

Combine like terms: 7r + -19r = -12r
6 + -12r = 10 + 19r + -19r

Combine like terms: 19r + -19r = 0
6 + -12r = 10 + 0
6 + -12r = 10

Add '-6' to each side of the equation.
6 + -6 + -12r = 10 + -6

Combine like terms: 6 + -6 = 0
0 + -12r = 10 + -6
-12r = 10 + -6

Combine like terms: 10 + -6 = 4
-12r = 4

Divide each side by '-12'.
r = -0.3333333333

Simplifying
r = -0.3333333333