2(7c+3)=3(6c-2)

Solution for 2(7c+3)=3(6c-2) equation:

Simplifying
2(7c + 3) = 3(6c + -2)

Reorder the terms:
2(3 + 7c) = 3(6c + -2)
(3 * 2 + 7c * 2) = 3(6c + -2)
(6 + 14c) = 3(6c + -2)

Reorder the terms:
6 + 14c = 3(-2 + 6c)
6 + 14c = (-2 * 3 + 6c * 3)
6 + 14c = (-6 + 18c)

Solving
6 + 14c = -6 + 18c

Solving for variable 'c'.

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

Add '-18c' to each side of the equation.
6 + 14c + -18c = -6 + 18c + -18c

Combine like terms: 14c + -18c = -4c
6 + -4c = -6 + 18c + -18c

Combine like terms: 18c + -18c = 0
6 + -4c = -6 + 0
6 + -4c = -6

Add '-6' to each side of the equation.
6 + -6 + -4c = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -4c = -6 + -6
-4c = -6 + -6

Combine like terms: -6 + -6 = -12
-4c = -12

Divide each side by '-4'.
c = 3

Simplifying
c = 3