Algebra Examples

$4 x = 10$

Step 1

Divide each term in $4 x = 10$ by $4$ .

$\frac{4 x}{4} = \frac{10}{4}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $4$ .

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Step 2.1.1

Cancel the common factor.

$\frac{4 x}{4} = \frac{10}{4}$

Step 2.1.2

Divide $x$ by $1$ .

$x = \frac{10}{4}$

$x = \frac{10}{4}$

$x = \frac{10}{4}$

Step 3

Simplify the right side.

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Step 3.1

Cancel the common factor of $10$ and $4$ .

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Step 3.1.1

Factor $2$ out of $10$ .

$x = \frac{2 (5)}{4}$

Step 3.1.2

Cancel the common factors.

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Step 3.1.2.1

Factor $2$ out of $4$ .

$x = \frac{2 \cdot 5}{2 \cdot 2}$

Step 3.1.2.2

Cancel the common factor.

$x = \frac{2 \cdot 5}{2 \cdot 2}$

Step 3.1.2.3

Rewrite the expression.

$x = \frac{5}{2}$

$x = \frac{5}{2}$

$x = \frac{5}{2}$

$x = \frac{5}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{5}{2}$

Decimal Form:

$x = 2.5$

Mixed Number Form:

$x = 2 \frac{1}{2}$

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