7(c-6)=3(4-c)

Solution for 7(c-6)=3(4-c) equation:

Simplifying
7(c + -6) = 3(4 + -1c)

Reorder the terms:
7(-6 + c) = 3(4 + -1c)
(-6 * 7 + c * 7) = 3(4 + -1c)
(-42 + 7c) = 3(4 + -1c)
-42 + 7c = (4 * 3 + -1c * 3)
-42 + 7c = (12 + -3c)

Solving
-42 + 7c = 12 + -3c

Solving for variable 'c'.

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

Add '3c' to each side of the equation.
-42 + 7c + 3c = 12 + -3c + 3c

Combine like terms: 7c + 3c = 10c
-42 + 10c = 12 + -3c + 3c

Combine like terms: -3c + 3c = 0
-42 + 10c = 12 + 0
-42 + 10c = 12

Add '42' to each side of the equation.
-42 + 42 + 10c = 12 + 42

Combine like terms: -42 + 42 = 0
0 + 10c = 12 + 42
10c = 12 + 42

Combine like terms: 12 + 42 = 54
10c = 54

Divide each side by '10'.
c = 5.4

Simplifying
c = 5.4