2(c-3)=4(c+6)

Solution for 2(c-3)=4(c+6) equation:

Simplifying
2(c + -3) = 4(c + 6)

Reorder the terms:
2(-3 + c) = 4(c + 6)
(-3 * 2 + c * 2) = 4(c + 6)
(-6 + 2c) = 4(c + 6)

Reorder the terms:
-6 + 2c = 4(6 + c)
-6 + 2c = (6 * 4 + c * 4)
-6 + 2c = (24 + 4c)

Solving
-6 + 2c = 24 + 4c

Solving for variable 'c'.

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

Add '-4c' to each side of the equation.
-6 + 2c + -4c = 24 + 4c + -4c

Combine like terms: 2c + -4c = -2c
-6 + -2c = 24 + 4c + -4c

Combine like terms: 4c + -4c = 0
-6 + -2c = 24 + 0
-6 + -2c = 24

Add '6' to each side of the equation.
-6 + 6 + -2c = 24 + 6

Combine like terms: -6 + 6 = 0
0 + -2c = 24 + 6
-2c = 24 + 6

Combine like terms: 24 + 6 = 30
-2c = 30

Divide each side by '-2'.
c = -15

Simplifying
c = -15