2(c+3)=3(3c-1)

Solution for 2(c+3)=3(3c-1) equation:

Simplifying
2(c + 3) = 3(3c + -1)

Reorder the terms:
2(3 + c) = 3(3c + -1)
(3 * 2 + c * 2) = 3(3c + -1)
(6 + 2c) = 3(3c + -1)

Reorder the terms:
6 + 2c = 3(-1 + 3c)
6 + 2c = (-1 * 3 + 3c * 3)
6 + 2c = (-3 + 9c)

Solving
6 + 2c = -3 + 9c

Solving for variable 'c'.

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

Add '-9c' to each side of the equation.
6 + 2c + -9c = -3 + 9c + -9c

Combine like terms: 2c + -9c = -7c
6 + -7c = -3 + 9c + -9c

Combine like terms: 9c + -9c = 0
6 + -7c = -3 + 0
6 + -7c = -3

Add '-6' to each side of the equation.
6 + -6 + -7c = -3 + -6

Combine like terms: 6 + -6 = 0
0 + -7c = -3 + -6
-7c = -3 + -6

Combine like terms: -3 + -6 = -9
-7c = -9

Divide each side by '-7'.
c = 1.285714286

Simplifying
c = 1.285714286