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

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

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

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

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

Solving
6 + 2c = -3 + 3c

Solving for variable 'c'.

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

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

Combine like terms: 2c + -3c = -1c
6 + -1c = -3 + 3c + -3c

Combine like terms: 3c + -3c = 0
6 + -1c = -3 + 0
6 + -1c = -3

Add '-6' to each side of the equation.
6 + -6 + -1c = -3 + -6

Combine like terms: 6 + -6 = 0
0 + -1c = -3 + -6
-1c = -3 + -6

Combine like terms: -3 + -6 = -9
-1c = -9

Divide each side by '-1'.
c = 9

Simplifying
c = 9