3(5c+2)=2(3c-6)

Solution for 3(5c+2)=2(3c-6) equation:

Simplifying
3(5c + 2) = 2(3c + -6)

Reorder the terms:
3(2 + 5c) = 2(3c + -6)
(2 * 3 + 5c * 3) = 2(3c + -6)
(6 + 15c) = 2(3c + -6)

Reorder the terms:
6 + 15c = 2(-6 + 3c)
6 + 15c = (-6 * 2 + 3c * 2)
6 + 15c = (-12 + 6c)

Solving
6 + 15c = -12 + 6c

Solving for variable 'c'.

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

Add '-6c' to each side of the equation.
6 + 15c + -6c = -12 + 6c + -6c

Combine like terms: 15c + -6c = 9c
6 + 9c = -12 + 6c + -6c

Combine like terms: 6c + -6c = 0
6 + 9c = -12 + 0
6 + 9c = -12

Add '-6' to each side of the equation.
6 + -6 + 9c = -12 + -6

Combine like terms: 6 + -6 = 0
0 + 9c = -12 + -6
9c = -12 + -6

Combine like terms: -12 + -6 = -18
9c = -18

Divide each side by '9'.
c = -2

Simplifying
c = -2