4(c-2)=5(c-4)

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Solution for 4(c-2)=5(c-4) equation:


Simplifying
4(c + -2) = 5(c + -4)

Reorder the terms:
4(-2 + c) = 5(c + -4)
(-2 * 4 + c * 4) = 5(c + -4)
(-8 + 4c) = 5(c + -4)

Reorder the terms:
-8 + 4c = 5(-4 + c)
-8 + 4c = (-4 * 5 + c * 5)
-8 + 4c = (-20 + 5c)

Solving
-8 + 4c = -20 + 5c

Solving for variable 'c'.

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

Add '-5c' to each side of the equation.
-8 + 4c + -5c = -20 + 5c + -5c

Combine like terms: 4c + -5c = -1c
-8 + -1c = -20 + 5c + -5c

Combine like terms: 5c + -5c = 0
-8 + -1c = -20 + 0
-8 + -1c = -20

Add '8' to each side of the equation.
-8 + 8 + -1c = -20 + 8

Combine like terms: -8 + 8 = 0
0 + -1c = -20 + 8
-1c = -20 + 8

Combine like terms: -20 + 8 = -12
-1c = -12

Divide each side by '-1'.
c = 12

Simplifying
c = 12

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