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

Solution for 3(r+3)-2(1+3r)=5r-6+5 equation:

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

Reorder the terms:
3(3 + r) + -2(1 + 3r) = 5r + -6 + 5
(3 * 3 + r * 3) + -2(1 + 3r) = 5r + -6 + 5
(9 + 3r) + -2(1 + 3r) = 5r + -6 + 5
9 + 3r + (1 * -2 + 3r * -2) = 5r + -6 + 5
9 + 3r + (-2 + -6r) = 5r + -6 + 5

Reorder the terms:
9 + -2 + 3r + -6r = 5r + -6 + 5

Combine like terms: 9 + -2 = 7
7 + 3r + -6r = 5r + -6 + 5

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

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

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

Solving
7 + -3r = -1 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
7 + -3r + -5r = -1 + 5r + -5r

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

Combine like terms: 5r + -5r = 0
7 + -8r = -1 + 0
7 + -8r = -1

Add '-7' to each side of the equation.
7 + -7 + -8r = -1 + -7

Combine like terms: 7 + -7 = 0
0 + -8r = -1 + -7
-8r = -1 + -7

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

Divide each side by '-8'.
r = 1

Simplifying
r = 1