10c-6(2c-1)=2(c-3)

Solution for 10c-6(2c-1)=2(c-3) equation:

Simplifying
10c + -6(2c + -1) = 2(c + -3)

Reorder the terms:
10c + -6(-1 + 2c) = 2(c + -3)
10c + (-1 * -6 + 2c * -6) = 2(c + -3)
10c + (6 + -12c) = 2(c + -3)

Reorder the terms:
6 + 10c + -12c = 2(c + -3)

Combine like terms: 10c + -12c = -2c
6 + -2c = 2(c + -3)

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

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

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

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

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

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

Combine like terms: -6 + -6 = -12
-4c = -12

Divide each side by '-4'.
c = 3

Simplifying
c = 3