6+2(5-3r)=2(2r+8)

Solution for 6+2(5-3r)=2(2r+8) equation:

Simplifying
6 + 2(5 + -3r) = 2(2r + 8)
6 + (5 * 2 + -3r * 2) = 2(2r + 8)
6 + (10 + -6r) = 2(2r + 8)

Combine like terms: 6 + 10 = 16
16 + -6r = 2(2r + 8)

Reorder the terms:
16 + -6r = 2(8 + 2r)
16 + -6r = (8 * 2 + 2r * 2)
16 + -6r = (16 + 4r)

Add '-16' to each side of the equation.
16 + -16 + -6r = 16 + -16 + 4r

Combine like terms: 16 + -16 = 0
0 + -6r = 16 + -16 + 4r
-6r = 16 + -16 + 4r

Combine like terms: 16 + -16 = 0
-6r = 0 + 4r
-6r = 4r

Solving
-6r = 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
-6r + -4r = 4r + -4r

Combine like terms: -6r + -4r = -10r
-10r = 4r + -4r

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

Divide each side by '-10'.
r = 0.0

Simplifying
r = 0.0