.333(c+1)=.166(3c-5)

Solution for .333(c+1)=.166(3c-5) equation:

Simplifying
0.333(c + 1) = 0.166(3c + -5)

Reorder the terms:
0.333(1 + c) = 0.166(3c + -5)
(1 * 0.333 + c * 0.333) = 0.166(3c + -5)
(0.333 + 0.333c) = 0.166(3c + -5)

Reorder the terms:
0.333 + 0.333c = 0.166(-5 + 3c)
0.333 + 0.333c = (-5 * 0.166 + 3c * 0.166)
0.333 + 0.333c = (-0.83 + 0.498c)

Solving
0.333 + 0.333c = -0.83 + 0.498c

Solving for variable 'c'.

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

Add '-0.498c' to each side of the equation.
0.333 + 0.333c + -0.498c = -0.83 + 0.498c + -0.498c

Combine like terms: 0.333c + -0.498c = -0.165c
0.333 + -0.165c = -0.83 + 0.498c + -0.498c

Combine like terms: 0.498c + -0.498c = 0.000
0.333 + -0.165c = -0.83 + 0.000
0.333 + -0.165c = -0.83

Add '-0.333' to each side of the equation.
0.333 + -0.333 + -0.165c = -0.83 + -0.333

Combine like terms: 0.333 + -0.333 = 0.000
0.000 + -0.165c = -0.83 + -0.333
-0.165c = -0.83 + -0.333

Combine like terms: -0.83 + -0.333 = -1.163
-0.165c = -1.163

Divide each side by '-0.165'.
c = 7.048484848

Simplifying
c = 7.048484848