6(c-1)=2(c-4)

Solution for 6(c-1)=2(c-4) equation:

Simplifying
6(c + -1) = 2(c + -4)

Reorder the terms:
6(-1 + c) = 2(c + -4)
(-1 * 6 + c * 6) = 2(c + -4)
(-6 + 6c) = 2(c + -4)

Reorder the terms:
-6 + 6c = 2(-4 + c)
-6 + 6c = (-4 * 2 + c * 2)
-6 + 6c = (-8 + 2c)

Solving
-6 + 6c = -8 + 2c

Solving for variable 'c'.

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

Add '-2c' to each side of the equation.
-6 + 6c + -2c = -8 + 2c + -2c

Combine like terms: 6c + -2c = 4c
-6 + 4c = -8 + 2c + -2c

Combine like terms: 2c + -2c = 0
-6 + 4c = -8 + 0
-6 + 4c = -8

Add '6' to each side of the equation.
-6 + 6 + 4c = -8 + 6

Combine like terms: -6 + 6 = 0
0 + 4c = -8 + 6
4c = -8 + 6

Combine like terms: -8 + 6 = -2
4c = -2

Divide each side by '4'.
c = -0.5

Simplifying
c = -0.5