2(c-4)=3(c-2)

Solution for 2(c-4)=3(c-2) equation:

Simplifying
2(c + -4) = 3(c + -2)

Reorder the terms:
2(-4 + c) = 3(c + -2)
(-4 * 2 + c * 2) = 3(c + -2)
(-8 + 2c) = 3(c + -2)

Reorder the terms:
-8 + 2c = 3(-2 + c)
-8 + 2c = (-2 * 3 + c * 3)
-8 + 2c = (-6 + 3c)

Solving
-8 + 2c = -6 + 3c

Solving for variable 'c'.

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

Add '-3c' to each side of the equation.
-8 + 2c + -3c = -6 + 3c + -3c

Combine like terms: 2c + -3c = -1c
-8 + -1c = -6 + 3c + -3c

Combine like terms: 3c + -3c = 0
-8 + -1c = -6 + 0
-8 + -1c = -6

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

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

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

Divide each side by '-1'.
c = -2

Simplifying
c = -2