5c-3=2(c-3)

Solution for 5c-3=2(c-3) equation:

Simplifying
5c + -3 = 2(c + -3)

Reorder the terms:
-3 + 5c = 2(c + -3)

Reorder the terms:
-3 + 5c = 2(-3 + c)
-3 + 5c = (-3 * 2 + c * 2)
-3 + 5c = (-6 + 2c)

Solving
-3 + 5c = -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.
-3 + 5c + -2c = -6 + 2c + -2c

Combine like terms: 5c + -2c = 3c
-3 + 3c = -6 + 2c + -2c

Combine like terms: 2c + -2c = 0
-3 + 3c = -6 + 0
-3 + 3c = -6

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

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

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

Divide each side by '3'.
c = -1

Simplifying
c = -1