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

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

Simplifying
6r = 2(r + 3) + -1(r + 5)

Reorder the terms:
6r = 2(3 + r) + -1(r + 5)
6r = (3 * 2 + r * 2) + -1(r + 5)
6r = (6 + 2r) + -1(r + 5)

Reorder the terms:
6r = 6 + 2r + -1(5 + r)
6r = 6 + 2r + (5 * -1 + r * -1)
6r = 6 + 2r + (-5 + -1r)

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

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

Combine like terms: 2r + -1r = 1r
6r = 1 + 1r

Solving
6r = 1 + 1r

Solving for variable 'r'.

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

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

Combine like terms: 6r + -1r = 5r
5r = 1 + 1r + -1r

Combine like terms: 1r + -1r = 0
5r = 1 + 0
5r = 1

Divide each side by '5'.
r = 0.2

Simplifying
r = 0.2