5r-2+3(r-11)=5

Solution for 5r-2+3(r-11)=5 equation:

Simplifying
5r + -2 + 3(r + -11) = 5

Reorder the terms:
5r + -2 + 3(-11 + r) = 5
5r + -2 + (-11 * 3 + r * 3) = 5
5r + -2 + (-33 + 3r) = 5

Reorder the terms:
-2 + -33 + 5r + 3r = 5

Combine like terms: -2 + -33 = -35
-35 + 5r + 3r = 5

Combine like terms: 5r + 3r = 8r
-35 + 8r = 5

Solving
-35 + 8r = 5

Solving for variable 'r'.

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

Add '35' to each side of the equation.
-35 + 35 + 8r = 5 + 35

Combine like terms: -35 + 35 = 0
0 + 8r = 5 + 35
8r = 5 + 35

Combine like terms: 5 + 35 = 40
8r = 40

Divide each side by '8'.
r = 5

Simplifying
r = 5