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

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

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

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

Reorder the terms:
-6 + 3c = 2(-6 + c)
-6 + 3c = (-6 * 2 + c * 2)
-6 + 3c = (-12 + 2c)

Solving
-6 + 3c = -12 + 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 = -12 + 2c + -2c

Combine like terms: 3c + -2c = 1c
-6 + 1c = -12 + 2c + -2c

Combine like terms: 2c + -2c = 0
-6 + 1c = -12 + 0
-6 + 1c = -12

Add '6' to each side of the equation.
-6 + 6 + 1c = -12 + 6

Combine like terms: -6 + 6 = 0
0 + 1c = -12 + 6
1c = -12 + 6

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

Divide each side by '1'.
c = -6

Simplifying
c = -6