Algebra Examples

$6.95 + 8 c = 24.95$

Step 1

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

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Step 1.1

Subtract $6.95$ from both sides of the equation.

$8 c = 24.95 - 6.95$

Step 1.2

Subtract $6.95$ from $24.95$ .

$8 c = 18$

Step 2

Divide each term in $8 c = 18$ by $8$ and simplify.

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Step 2.1

Divide each term in $8 c = 18$ by $8$ .

$\frac{8 c}{8} = \frac{18}{8}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $8$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{8 c}{8} = \frac{18}{8}$

Step 2.2.1.2

Divide $c$ by $1$ .

$c = \frac{18}{8}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Cancel the common factor of $18$ and $8$ .

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Step 2.3.1.1

Factor $2$ out of $18$ .

$c = \frac{2 (9)}{8}$

Step 2.3.1.2

Cancel the common factors.

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Step 2.3.1.2.1

Factor $2$ out of $8$ .

$c = \frac{2 \cdot 9}{2 \cdot 4}$

Step 2.3.1.2.2

Cancel the common factor.

$c = \frac{2 \cdot 9}{2 \cdot 4}$

Step 2.3.1.2.3

Rewrite the expression.

$c = \frac{9}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$c = \frac{9}{4}$

Decimal Form:

$c = 2.25$

Mixed Number Form:

$c = 2 \frac{1}{4}$