5r+6=7r-3

Solution for 5r+6=7r-3 equation:

Simplifying
5r + 6 = 7r + -3

Reorder the terms:
6 + 5r = 7r + -3

Reorder the terms:
6 + 5r = -3 + 7r

Solving
6 + 5r = -3 + 7r

Solving for variable 'r'.

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

Add '-7r' to each side of the equation.
6 + 5r + -7r = -3 + 7r + -7r

Combine like terms: 5r + -7r = -2r
6 + -2r = -3 + 7r + -7r

Combine like terms: 7r + -7r = 0
6 + -2r = -3 + 0
6 + -2r = -3

Add '-6' to each side of the equation.
6 + -6 + -2r = -3 + -6

Combine like terms: 6 + -6 = 0
0 + -2r = -3 + -6
-2r = -3 + -6

Combine like terms: -3 + -6 = -9
-2r = -9

Divide each side by '-2'.
r = 4.5

Simplifying
r = 4.5