Algebra Examples

$5 (8) = 3478 - 3 c$

Step 1

Rewrite the equation as $3478 - 3 c = 5 (8)$ .

$3478 - 3 c = 5 (8)$

Step 2

Multiply $5$ by $8$ .

$3478 - 3 c = 40$

Step 3

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

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Step 3.1

Subtract $3478$ from both sides of the equation.

$- 3 c = 40 - 3478$

Step 3.2

Subtract $3478$ from $40$ .

$- 3 c = - 3438$

Step 4

Divide each term in $- 3 c = - 3438$ by $- 3$ and simplify.

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Step 4.1

Divide each term in $- 3 c = - 3438$ by $- 3$ .

$\frac{- 3 c}{- 3} = \frac{- 3438}{- 3}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $- 3$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{- 3 c}{- 3} = \frac{- 3438}{- 3}$

Step 4.2.1.2

Divide $c$ by $1$ .

$c = \frac{- 3438}{- 3}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $- 3438$ by $- 3$ .

$c = 1146$