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

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

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

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

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

Solving
-6 + 3c = 6 + 2c

Solving for variable 'c'.

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

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

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

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

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

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

Combine like terms: 6 + 6 = 12
1c = 12

Divide each side by '1'.
c = 12

Simplifying
c = 12