-4c-2(c+2)=16-(c-5)

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Solution for -4c-2(c+2)=16-(c-5) equation:


Simplifying
-4c + -2(c + 2) = 16 + -1(c + -5)

Reorder the terms:
-4c + -2(2 + c) = 16 + -1(c + -5)
-4c + (2 * -2 + c * -2) = 16 + -1(c + -5)
-4c + (-4 + -2c) = 16 + -1(c + -5)

Reorder the terms:
-4 + -4c + -2c = 16 + -1(c + -5)

Combine like terms: -4c + -2c = -6c
-4 + -6c = 16 + -1(c + -5)

Reorder the terms:
-4 + -6c = 16 + -1(-5 + c)
-4 + -6c = 16 + (-5 * -1 + c * -1)
-4 + -6c = 16 + (5 + -1c)

Combine like terms: 16 + 5 = 21
-4 + -6c = 21 + -1c

Solving
-4 + -6c = 21 + -1c

Solving for variable 'c'.

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

Add 'c' to each side of the equation.
-4 + -6c + c = 21 + -1c + c

Combine like terms: -6c + c = -5c
-4 + -5c = 21 + -1c + c

Combine like terms: -1c + c = 0
-4 + -5c = 21 + 0
-4 + -5c = 21

Add '4' to each side of the equation.
-4 + 4 + -5c = 21 + 4

Combine like terms: -4 + 4 = 0
0 + -5c = 21 + 4
-5c = 21 + 4

Combine like terms: 21 + 4 = 25
-5c = 25

Divide each side by '-5'.
c = -5

Simplifying
c = -5

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