4c+6=9(3c-5)

Solution for 4c+6=9(3c-5) equation:

Simplifying
4c + 6 = 9(3c + -5)

Reorder the terms:
6 + 4c = 9(3c + -5)

Reorder the terms:
6 + 4c = 9(-5 + 3c)
6 + 4c = (-5 * 9 + 3c * 9)
6 + 4c = (-45 + 27c)

Solving
6 + 4c = -45 + 27c

Solving for variable 'c'.

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

Add '-27c' to each side of the equation.
6 + 4c + -27c = -45 + 27c + -27c

Combine like terms: 4c + -27c = -23c
6 + -23c = -45 + 27c + -27c

Combine like terms: 27c + -27c = 0
6 + -23c = -45 + 0
6 + -23c = -45

Add '-6' to each side of the equation.
6 + -6 + -23c = -45 + -6

Combine like terms: 6 + -6 = 0
0 + -23c = -45 + -6
-23c = -45 + -6

Combine like terms: -45 + -6 = -51
-23c = -51

Divide each side by '-23'.
c = 2.217391304

Simplifying
c = 2.217391304