3(c-6)=2(3+c)

Solution for 3(c-6)=2(3+c) equation:

Simplifying
3(c + -6) = 2(3 + c)

Reorder the terms:
3(-6 + c) = 2(3 + c)
(-6 * 3 + c * 3) = 2(3 + c)
(-18 + 3c) = 2(3 + c)
-18 + 3c = (3 * 2 + c * 2)
-18 + 3c = (6 + 2c)

Solving
-18 + 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.
-18 + 3c + -2c = 6 + 2c + -2c

Combine like terms: 3c + -2c = 1c
-18 + 1c = 6 + 2c + -2c

Combine like terms: 2c + -2c = 0
-18 + 1c = 6 + 0
-18 + 1c = 6

Add '18' to each side of the equation.
-18 + 18 + 1c = 6 + 18

Combine like terms: -18 + 18 = 0
0 + 1c = 6 + 18
1c = 6 + 18

Combine like terms: 6 + 18 = 24
1c = 24

Divide each side by '1'.
c = 24

Simplifying
c = 24