Algebra Examples

$685 (c - 9) = 35$

Step 1

Divide each term in $685 (c - 9) = 35$ by $685$ and simplify.

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Step 1.1

Divide each term in $685 (c - 9) = 35$ by $685$ .

$\frac{685 (c - 9)}{685} = \frac{35}{685}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $685$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{685 (c - 9)}{685} = \frac{35}{685}$

Step 1.2.1.2

Divide $c - 9$ by $1$ .

$c - 9 = \frac{35}{685}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Cancel the common factor of $35$ and $685$ .

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Step 1.3.1.1

Factor $5$ out of $35$ .

$c - 9 = \frac{5 (7)}{685}$

Step 1.3.1.2

Cancel the common factors.

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Step 1.3.1.2.1

Factor $5$ out of $685$ .

$c - 9 = \frac{5 \cdot 7}{5 \cdot 137}$

Step 1.3.1.2.2

Cancel the common factor.

$c - 9 = \frac{5 \cdot 7}{5 \cdot 137}$

Step 1.3.1.2.3

Rewrite the expression.

$c - 9 = \frac{7}{137}$

Step 2

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

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Step 2.1

Add $9$ to both sides of the equation.

$c = \frac{7}{137} + 9$

Step 2.2

To write $9$ as a fraction with a common denominator, multiply by $\frac{137}{137}$ .

$c = \frac{7}{137} + 9 \cdot \frac{137}{137}$

Step 2.3

Combine $9$ and $\frac{137}{137}$ .

$c = \frac{7}{137} + \frac{9 \cdot 137}{137}$

Step 2.4

Combine the numerators over the common denominator.

$c = \frac{7 + 9 \cdot 137}{137}$

Step 2.5

Simplify the numerator.

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Step 2.5.1

Multiply $9$ by $137$ .

$c = \frac{7 + 1233}{137}$

Step 2.5.2

Add $7$ and $1233$ .

$c = \frac{1240}{137}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$c = \frac{1240}{137}$

Decimal Form:

$c = 9.05109489 \dots$

Mixed Number Form:

$c = 9 \frac{7}{137}$