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

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

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

Reorder the terms:
-6 + 2r + 5r = 3 + -1r + 7

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

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

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

Solving
-6 + 7r = 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 + 7r + r = 10 + -1r + r

Combine like terms: 7r + r = 8r
-6 + 8r = 10 + -1r + r

Combine like terms: -1r + r = 0
-6 + 8r = 10 + 0
-6 + 8r = 10

Add '6' to each side of the equation.
-6 + 6 + 8r = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 8r = 10 + 6
8r = 10 + 6

Combine like terms: 10 + 6 = 16
8r = 16

Divide each side by '8'.
r = 2

Simplifying
r = 2