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

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

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

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

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

Combine like terms: 2c + -1c = 1c
6 + 1c = 4(c + -2)

Reorder the terms:
6 + 1c = 4(-2 + c)
6 + 1c = (-2 * 4 + c * 4)
6 + 1c = (-8 + 4c)

Solving
6 + 1c = -8 + 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 + 1c + -4c = -8 + 4c + -4c

Combine like terms: 1c + -4c = -3c
6 + -3c = -8 + 4c + -4c

Combine like terms: 4c + -4c = 0
6 + -3c = -8 + 0
6 + -3c = -8

Add '-6' to each side of the equation.
6 + -6 + -3c = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -3c = -8 + -6
-3c = -8 + -6

Combine like terms: -8 + -6 = -14
-3c = -14

Divide each side by '-3'.
c = 4.666666667

Simplifying
c = 4.666666667