6(c-4)=2(8-3c)

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Solution for 6(c-4)=2(8-3c) equation:


Simplifying
6(c + -4) = 2(8 + -3c)

Reorder the terms:
6(-4 + c) = 2(8 + -3c)
(-4 * 6 + c * 6) = 2(8 + -3c)
(-24 + 6c) = 2(8 + -3c)
-24 + 6c = (8 * 2 + -3c * 2)
-24 + 6c = (16 + -6c)

Solving
-24 + 6c = 16 + -6c

Solving for variable 'c'.

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

Add '6c' to each side of the equation.
-24 + 6c + 6c = 16 + -6c + 6c

Combine like terms: 6c + 6c = 12c
-24 + 12c = 16 + -6c + 6c

Combine like terms: -6c + 6c = 0
-24 + 12c = 16 + 0
-24 + 12c = 16

Add '24' to each side of the equation.
-24 + 24 + 12c = 16 + 24

Combine like terms: -24 + 24 = 0
0 + 12c = 16 + 24
12c = 16 + 24

Combine like terms: 16 + 24 = 40
12c = 40

Divide each side by '12'.
c = 3.333333333

Simplifying
c = 3.333333333

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