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

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

Simplifying
7(5 + c) = 6(c + -1)
(5 * 7 + c * 7) = 6(c + -1)
(35 + 7c) = 6(c + -1)

Reorder the terms:
35 + 7c = 6(-1 + c)
35 + 7c = (-1 * 6 + c * 6)
35 + 7c = (-6 + 6c)

Solving
35 + 7c = -6 + 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.
35 + 7c + -6c = -6 + 6c + -6c

Combine like terms: 7c + -6c = 1c
35 + 1c = -6 + 6c + -6c

Combine like terms: 6c + -6c = 0
35 + 1c = -6 + 0
35 + 1c = -6

Add '-35' to each side of the equation.
35 + -35 + 1c = -6 + -35

Combine like terms: 35 + -35 = 0
0 + 1c = -6 + -35
1c = -6 + -35

Combine like terms: -6 + -35 = -41
1c = -41

Divide each side by '1'.
c = -41

Simplifying
c = -41