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

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

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

Reorder the terms:
6(-7 + c) = 5(3 + c)
(-7 * 6 + c * 6) = 5(3 + c)
(-42 + 6c) = 5(3 + c)
-42 + 6c = (3 * 5 + c * 5)
-42 + 6c = (15 + 5c)

Solving
-42 + 6c = 15 + 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 = 15 + 5c + -5c

Combine like terms: 6c + -5c = 1c
-42 + 1c = 15 + 5c + -5c

Combine like terms: 5c + -5c = 0
-42 + 1c = 15 + 0
-42 + 1c = 15

Add '42' to each side of the equation.
-42 + 42 + 1c = 15 + 42

Combine like terms: -42 + 42 = 0
0 + 1c = 15 + 42
1c = 15 + 42

Combine like terms: 15 + 42 = 57
1c = 57

Divide each side by '1'.
c = 57

Simplifying
c = 57