5(r-4)-4(r-1)=2(r+4)

Solution for 5(r-4)-4(r-1)=2(r+4) equation:

Simplifying
5(r + -4) + -4(r + -1) = 2(r + 4)

Reorder the terms:
5(-4 + r) + -4(r + -1) = 2(r + 4)
(-4 * 5 + r * 5) + -4(r + -1) = 2(r + 4)
(-20 + 5r) + -4(r + -1) = 2(r + 4)

Reorder the terms:
-20 + 5r + -4(-1 + r) = 2(r + 4)
-20 + 5r + (-1 * -4 + r * -4) = 2(r + 4)
-20 + 5r + (4 + -4r) = 2(r + 4)

Reorder the terms:
-20 + 4 + 5r + -4r = 2(r + 4)

Combine like terms: -20 + 4 = -16
-16 + 5r + -4r = 2(r + 4)

Combine like terms: 5r + -4r = 1r
-16 + 1r = 2(r + 4)

Reorder the terms:
-16 + 1r = 2(4 + r)
-16 + 1r = (4 * 2 + r * 2)
-16 + 1r = (8 + 2r)

Solving
-16 + 1r = 8 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
-16 + 1r + -2r = 8 + 2r + -2r

Combine like terms: 1r + -2r = -1r
-16 + -1r = 8 + 2r + -2r

Combine like terms: 2r + -2r = 0
-16 + -1r = 8 + 0
-16 + -1r = 8

Add '16' to each side of the equation.
-16 + 16 + -1r = 8 + 16

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

Combine like terms: 8 + 16 = 24
-1r = 24

Divide each side by '-1'.
r = -24

Simplifying
r = -24