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

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

Simplifying
2(5r + 1) + -3(r + -3) = 0

Reorder the terms:
2(1 + 5r) + -3(r + -3) = 0
(1 * 2 + 5r * 2) + -3(r + -3) = 0
(2 + 10r) + -3(r + -3) = 0

Reorder the terms:
2 + 10r + -3(-3 + r) = 0
2 + 10r + (-3 * -3 + r * -3) = 0
2 + 10r + (9 + -3r) = 0

Reorder the terms:
2 + 9 + 10r + -3r = 0

Combine like terms: 2 + 9 = 11
11 + 10r + -3r = 0

Combine like terms: 10r + -3r = 7r
11 + 7r = 0

Solving
11 + 7r = 0

Solving for variable 'r'.

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

Add '-11' to each side of the equation.
11 + -11 + 7r = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 7r = 0 + -11
7r = 0 + -11

Combine like terms: 0 + -11 = -11
7r = -11

Divide each side by '7'.
r = -1.571428571

Simplifying
r = -1.571428571