2(c-4)+8=3(6c+20)

Solution for 2(c-4)+8=3(6c+20) equation:

Simplifying
2(c + -4) + 8 = 3(6c + 20)

Reorder the terms:
2(-4 + c) + 8 = 3(6c + 20)
(-4 * 2 + c * 2) + 8 = 3(6c + 20)
(-8 + 2c) + 8 = 3(6c + 20)

Reorder the terms:
-8 + 8 + 2c = 3(6c + 20)

Combine like terms: -8 + 8 = 0
0 + 2c = 3(6c + 20)
2c = 3(6c + 20)

Reorder the terms:
2c = 3(20 + 6c)
2c = (20 * 3 + 6c * 3)
2c = (60 + 18c)

Solving
2c = 60 + 18c

Solving for variable 'c'.

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

Add '-18c' to each side of the equation.
2c + -18c = 60 + 18c + -18c

Combine like terms: 2c + -18c = -16c
-16c = 60 + 18c + -18c

Combine like terms: 18c + -18c = 0
-16c = 60 + 0
-16c = 60

Divide each side by '-16'.
c = -3.75

Simplifying
c = -3.75