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

Solution for .33(c+1)=.166(3c-5) equation:

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

Reorder the terms:
0.33(1 + c) = 0.166(3c + -5)
(1 * 0.33 + c * 0.33) = 0.166(3c + -5)
(0.33 + 0.33c) = 0.166(3c + -5)

Reorder the terms:
0.33 + 0.33c = 0.166(-5 + 3c)
0.33 + 0.33c = (-5 * 0.166 + 3c * 0.166)
0.33 + 0.33c = (-0.83 + 0.498c)

Solving
0.33 + 0.33c = -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.
0.33 + 0.33c + -0.498c = -0.83 + 0.498c + -0.498c

Combine like terms: 0.33c + -0.498c = -0.168c
0.33 + -0.168c = -0.83 + 0.498c + -0.498c

Combine like terms: 0.498c + -0.498c = 0.000
0.33 + -0.168c = -0.83 + 0.000
0.33 + -0.168c = -0.83

Add '-0.33' to each side of the equation.
0.33 + -0.33 + -0.168c = -0.83 + -0.33

Combine like terms: 0.33 + -0.33 = 0.00
0.00 + -0.168c = -0.83 + -0.33
-0.168c = -0.83 + -0.33

Combine like terms: -0.83 + -0.33 = -1.16
-0.168c = -1.16

Divide each side by '-0.168'.
c = 6.904761905

Simplifying
c = 6.904761905