6(c-7)=3+5c

Solution for 6(c-7)=3+5c equation:

Simplifying
6(c + -7) = 3 + 5c

Reorder the terms:
6(-7 + c) = 3 + 5c
(-7 * 6 + c * 6) = 3 + 5c
(-42 + 6c) = 3 + 5c

Solving
-42 + 6c = 3 + 5c

Solving for variable 'c'.

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

Add '-5c' to each side of the equation.
-42 + 6c + -5c = 3 + 5c + -5c

Combine like terms: 6c + -5c = 1c
-42 + 1c = 3 + 5c + -5c

Combine like terms: 5c + -5c = 0
-42 + 1c = 3 + 0
-42 + 1c = 3

Add '42' to each side of the equation.
-42 + 42 + 1c = 3 + 42

Combine like terms: -42 + 42 = 0
0 + 1c = 3 + 42
1c = 3 + 42

Combine like terms: 3 + 42 = 45
1c = 45

Divide each side by '1'.
c = 45

Simplifying
c = 45