6-2r+5r=3-r+7

Solution for 6-2r+5r=3-r+7 equation:

Simplifying
6 + -2r + 5r = 3 + -1r + 7

Combine like terms: -2r + 5r = 3r
6 + 3r = 3 + -1r + 7

Reorder the terms:
6 + 3r = 3 + 7 + -1r

Combine like terms: 3 + 7 = 10
6 + 3r = 10 + -1r

Solving
6 + 3r = 10 + -1r

Solving for variable 'r'.

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

Add 'r' to each side of the equation.
6 + 3r + r = 10 + -1r + r

Combine like terms: 3r + r = 4r
6 + 4r = 10 + -1r + r

Combine like terms: -1r + r = 0
6 + 4r = 10 + 0
6 + 4r = 10

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

Combine like terms: 6 + -6 = 0
0 + 4r = 10 + -6
4r = 10 + -6

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

Divide each side by '4'.
r = 1

Simplifying
r = 1