6(c-7)=5c-6

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

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

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

Reorder the terms:
-42 + 6c = -6 + 5c

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

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

Combine like terms: 5c + -5c = 0
-42 + 1c = -6 + 0
-42 + 1c = -6

Add '42' to each side of the equation.
-42 + 42 + 1c = -6 + 42

Combine like terms: -42 + 42 = 0
0 + 1c = -6 + 42
1c = -6 + 42

Combine like terms: -6 + 42 = 36
1c = 36

Divide each side by '1'.
c = 36

Simplifying
c = 36