4r-5+2(r-8)=3

Solution for 4r-5+2(r-8)=3 equation:

Simplifying
4r + -5 + 2(r + -8) = 3

Reorder the terms:
4r + -5 + 2(-8 + r) = 3
4r + -5 + (-8 * 2 + r * 2) = 3
4r + -5 + (-16 + 2r) = 3

Reorder the terms:
-5 + -16 + 4r + 2r = 3

Combine like terms: -5 + -16 = -21
-21 + 4r + 2r = 3

Combine like terms: 4r + 2r = 6r
-21 + 6r = 3

Solving
-21 + 6r = 3

Solving for variable 'r'.

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

Add '21' to each side of the equation.
-21 + 21 + 6r = 3 + 21

Combine like terms: -21 + 21 = 0
0 + 6r = 3 + 21
6r = 3 + 21

Combine like terms: 3 + 21 = 24
6r = 24

Divide each side by '6'.
r = 4

Simplifying
r = 4