3(c-2)-2(5-2c)=72

Solution for 3(c-2)-2(5-2c)=72 equation:

Simplifying
3(c + -2) + -2(5 + -2c) = 72

Reorder the terms:
3(-2 + c) + -2(5 + -2c) = 72
(-2 * 3 + c * 3) + -2(5 + -2c) = 72
(-6 + 3c) + -2(5 + -2c) = 72
-6 + 3c + (5 * -2 + -2c * -2) = 72
-6 + 3c + (-10 + 4c) = 72

Reorder the terms:
-6 + -10 + 3c + 4c = 72

Combine like terms: -6 + -10 = -16
-16 + 3c + 4c = 72

Combine like terms: 3c + 4c = 7c
-16 + 7c = 72

Solving
-16 + 7c = 72

Solving for variable 'c'.

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

Add '16' to each side of the equation.
-16 + 16 + 7c = 72 + 16

Combine like terms: -16 + 16 = 0
0 + 7c = 72 + 16
7c = 72 + 16

Combine like terms: 72 + 16 = 88
7c = 88

Divide each side by '7'.
c = 12.57142857

Simplifying
c = 12.57142857