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

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

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

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

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

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

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

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

Solving for variable 'c'.

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

Add '6' to each side of the equation.
-6 + 6 + 1c = -8 + 6 + 4a

Combine like terms: -6 + 6 = 0
0 + 1c = -8 + 6 + 4a
1c = -8 + 6 + 4a

Combine like terms: -8 + 6 = -2
1c = -2 + 4a

Divide each side by '1'.
c = -2 + 4a

Simplifying
c = -2 + 4a