c+6=2(3c-7)

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

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

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

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

Solving
6 + c = -14 + 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 + c + -6c = -14 + 6c + -6c

Combine like terms: c + -6c = -5c
6 + -5c = -14 + 6c + -6c

Combine like terms: 6c + -6c = 0
6 + -5c = -14 + 0
6 + -5c = -14

Add '-6' to each side of the equation.
6 + -6 + -5c = -14 + -6

Combine like terms: 6 + -6 = 0
0 + -5c = -14 + -6
-5c = -14 + -6

Combine like terms: -14 + -6 = -20
-5c = -20

Divide each side by '-5'.
c = 4

Simplifying
c = 4