-2r+5r=5(r+8)-6(-5+2r)

Solution for -2r+5r=5(r+8)-6(-5+2r) equation:

Simplifying
-2r + 5r = 5(r + 8) + -6(-5 + 2r)

Combine like terms: -2r + 5r = 3r
3r = 5(r + 8) + -6(-5 + 2r)

Reorder the terms:
3r = 5(8 + r) + -6(-5 + 2r)
3r = (8 * 5 + r * 5) + -6(-5 + 2r)
3r = (40 + 5r) + -6(-5 + 2r)
3r = 40 + 5r + (-5 * -6 + 2r * -6)
3r = 40 + 5r + (30 + -12r)

Reorder the terms:
3r = 40 + 30 + 5r + -12r

Combine like terms: 40 + 30 = 70
3r = 70 + 5r + -12r

Combine like terms: 5r + -12r = -7r
3r = 70 + -7r

Solving
3r = 70 + -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.
3r + 7r = 70 + -7r + 7r

Combine like terms: 3r + 7r = 10r
10r = 70 + -7r + 7r

Combine like terms: -7r + 7r = 0
10r = 70 + 0
10r = 70

Divide each side by '10'.
r = 7

Simplifying
r = 7