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

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

Simplifying
3(2r + -5) + 8(r + 2) = 0

Reorder the terms:
3(-5 + 2r) + 8(r + 2) = 0
(-5 * 3 + 2r * 3) + 8(r + 2) = 0
(-15 + 6r) + 8(r + 2) = 0

Reorder the terms:
-15 + 6r + 8(2 + r) = 0
-15 + 6r + (2 * 8 + r * 8) = 0
-15 + 6r + (16 + 8r) = 0

Reorder the terms:
-15 + 16 + 6r + 8r = 0

Combine like terms: -15 + 16 = 1
1 + 6r + 8r = 0

Combine like terms: 6r + 8r = 14r
1 + 14r = 0

Solving
1 + 14r = 0

Solving for variable 'r'.

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

Add '-1' to each side of the equation.
1 + -1 + 14r = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 14r = 0 + -1
14r = 0 + -1

Combine like terms: 0 + -1 = -1
14r = -1

Divide each side by '14'.
r = -0.07142857143

Simplifying
r = -0.07142857143