6(7+c)=5(1+c)

Solution for 6(7+c)=5(1+c) equation:

Simplifying
6(7 + c) = 5(1 + c)
(7 * 6 + c * 6) = 5(1 + c)
(42 + 6c) = 5(1 + c)
42 + 6c = (1 * 5 + c * 5)
42 + 6c = (5 + 5c)

Solving
42 + 6c = 5 + 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 = 5 + 5c + -5c

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

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

Add '-42' to each side of the equation.
42 + -42 + 1c = 5 + -42

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

Combine like terms: 5 + -42 = -37
1c = -37

Divide each side by '1'.
c = -37

Simplifying
c = -37