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

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

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

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

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

Remove parenthesis around (3 + r)
-5 + 8r = 3 + r + -6

Reorder the terms:
-5 + 8r = 3 + -6 + r

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

Solving
-5 + 8r = -3 + r

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.
-5 + 8r + -1r = -3 + r + -1r

Combine like terms: 8r + -1r = 7r
-5 + 7r = -3 + r + -1r

Combine like terms: r + -1r = 0
-5 + 7r = -3 + 0
-5 + 7r = -3

Add '5' to each side of the equation.
-5 + 5 + 7r = -3 + 5

Combine like terms: -5 + 5 = 0
0 + 7r = -3 + 5
7r = -3 + 5

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

Divide each side by '7'.
r = 0.2857142857

Simplifying
r = 0.2857142857