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

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

Simplifying
5r + -2(5 + 4r) = 3 + r + -8
5r + (5 * -2 + 4r * -2) = 3 + r + -8
5r + (-10 + -8r) = 3 + r + -8

Reorder the terms:
-10 + 5r + -8r = 3 + r + -8

Combine like terms: 5r + -8r = -3r
-10 + -3r = 3 + r + -8

Reorder the terms:
-10 + -3r = 3 + -8 + r

Combine like terms: 3 + -8 = -5
-10 + -3r = -5 + r

Solving
-10 + -3r = -5 + r

Solving for variable 'r'.

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

Add '-1r' to each side of the equation.
-10 + -3r + -1r = -5 + r + -1r

Combine like terms: -3r + -1r = -4r
-10 + -4r = -5 + r + -1r

Combine like terms: r + -1r = 0
-10 + -4r = -5 + 0
-10 + -4r = -5

Add '10' to each side of the equation.
-10 + 10 + -4r = -5 + 10

Combine like terms: -10 + 10 = 0
0 + -4r = -5 + 10
-4r = -5 + 10

Combine like terms: -5 + 10 = 5
-4r = 5

Divide each side by '-4'.
r = -1.25

Simplifying
r = -1.25