Basic Math Examples

$240 (c + 3) - 5 = 7$

Step 1

Simplify $240 (c + 3) - 5$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$240 c + 240 \cdot 3 - 5 = 7$

Step 1.1.2

Multiply $240$ by $3$ .

$240 c + 720 - 5 = 7$

$240 c + 720 - 5 = 7$

Step 1.2

Subtract $5$ from $720$ .

$240 c + 715 = 7$

$240 c + 715 = 7$

Step 2

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

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Step 2.1

Subtract $715$ from both sides of the equation.

$240 c = 7 - 715$

Step 2.2

Subtract $715$ from $7$ .

$240 c = - 708$

$240 c = - 708$

Step 3

Divide each term in $240 c = - 708$ by $240$ and simplify.

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Step 3.1

Divide each term in $240 c = - 708$ by $240$ .

$\frac{240 c}{240} = \frac{- 708}{240}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $240$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{240 c}{240} = \frac{- 708}{240}$

Step 3.2.1.2

Divide $c$ by $1$ .

$c = \frac{- 708}{240}$

$c = \frac{- 708}{240}$

$c = \frac{- 708}{240}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Cancel the common factor of $- 708$ and $240$ .

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Step 3.3.1.1

Factor $12$ out of $- 708$ .

$c = \frac{12 (- 59)}{240}$

Step 3.3.1.2

Cancel the common factors.

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Step 3.3.1.2.1

Factor $12$ out of $240$ .

$c = \frac{12 \cdot - 59}{12 \cdot 20}$

Step 3.3.1.2.2

Cancel the common factor.

$c = \frac{12 \cdot - 59}{12 \cdot 20}$

Step 3.3.1.2.3

Rewrite the expression.

$c = \frac{- 59}{20}$

$c = \frac{- 59}{20}$

$c = \frac{- 59}{20}$

Step 3.3.2

Move the negative in front of the fraction.

$c = - \frac{59}{20}$

$c = - \frac{59}{20}$

$c = - \frac{59}{20}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$c = - \frac{59}{20}$

Decimal Form:

$c = - 2.95$

Mixed Number Form:

$c = - 2 \frac{19}{20}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$