5r-8(r-6)=8(6+2r)

Solution for 5r-8(r-6)=8(6+2r) equation:

Simplifying
5r + -8(r + -6) = 8(6 + 2r)

Reorder the terms:
5r + -8(-6 + r) = 8(6 + 2r)
5r + (-6 * -8 + r * -8) = 8(6 + 2r)
5r + (48 + -8r) = 8(6 + 2r)

Reorder the terms:
48 + 5r + -8r = 8(6 + 2r)

Combine like terms: 5r + -8r = -3r
48 + -3r = 8(6 + 2r)
48 + -3r = (6 * 8 + 2r * 8)
48 + -3r = (48 + 16r)

Add '-48' to each side of the equation.
48 + -48 + -3r = 48 + -48 + 16r

Combine like terms: 48 + -48 = 0
0 + -3r = 48 + -48 + 16r
-3r = 48 + -48 + 16r

Combine like terms: 48 + -48 = 0
-3r = 0 + 16r
-3r = 16r

Solving
-3r = 16r

Solving for variable 'r'.

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

Add '-16r' to each side of the equation.
-3r + -16r = 16r + -16r

Combine like terms: -3r + -16r = -19r
-19r = 16r + -16r

Combine like terms: 16r + -16r = 0
-19r = 0

Divide each side by '-19'.
r = 0

Simplifying
r = 0