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

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

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

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

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

Remove parenthesis around (3 + c)
-6 + 3c = 3 + c

Solving
-6 + 3c = 3 + c

Solving for variable 'c'.

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

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

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

Combine like terms: c + -1c = 0
-6 + 2c = 3 + 0
-6 + 2c = 3

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

Combine like terms: -6 + 6 = 0
0 + 2c = 3 + 6
2c = 3 + 6

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

Divide each side by '2'.
c = 4.5

Simplifying
c = 4.5