Algebra Examples

$4 (2 c - 8) = 16$

Step 1

Divide each term in $4 (2 c - 8) = 16$ by $4$ and simplify.

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Step 1.1

Divide each term in $4 (2 c - 8) = 16$ by $4$ .

$\frac{4 (2 c - 8)}{4} = \frac{16}{4}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $4$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{4 (2 c - 8)}{4} = \frac{16}{4}$

Step 1.2.1.2

Divide $2 c - 8$ by $1$ .

$2 c - 8 = \frac{16}{4}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide $16$ by $4$ .

$2 c - 8 = 4$

Step 2

Move all terms not containing $c$ to the right side of the equation.

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Step 2.1

Add $8$ to both sides of the equation.

$2 c = 4 + 8$

Step 2.2

Add $4$ and $8$ .

$2 c = 12$

Step 3

Divide each term in $2 c = 12$ by $2$ and simplify.

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Step 3.1

Divide each term in $2 c = 12$ by $2$ .

$\frac{2 c}{2} = \frac{12}{2}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $2$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{2 c}{2} = \frac{12}{2}$

Step 3.2.1.2

Divide $c$ by $1$ .

$c = \frac{12}{2}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $12$ by $2$ .

$c = 6$