2r-6+5r=3r-5(r-2)

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

Simplifying
2r + -6 + 5r = 3r + -5(r + -2)

Reorder the terms:
-6 + 2r + 5r = 3r + -5(r + -2)

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

Reorder the terms:
-6 + 7r = 3r + -5(-2 + r)
-6 + 7r = 3r + (-2 * -5 + r * -5)
-6 + 7r = 3r + (10 + -5r)

Reorder the terms:
-6 + 7r = 10 + 3r + -5r

Combine like terms: 3r + -5r = -2r
-6 + 7r = 10 + -2r

Solving
-6 + 7r = 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 + 7r + 2r = 10 + -2r + 2r

Combine like terms: 7r + 2r = 9r
-6 + 9r = 10 + -2r + 2r

Combine like terms: -2r + 2r = 0
-6 + 9r = 10 + 0
-6 + 9r = 10

Add '6' to each side of the equation.
-6 + 6 + 9r = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 9r = 10 + 6
9r = 10 + 6

Combine like terms: 10 + 6 = 16
9r = 16

Divide each side by '9'.
r = 1.777777778

Simplifying
r = 1.777777778