Algebra Examples

$\frac{6 x}{27} = 43$

Step 1

Cancel the common factor of $6$ and $27$ .

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Step 1.1

Factor $3$ out of $6 x$ .

$\frac{3 (2 x)}{27} = 43$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $3$ out of $27$ .

$\frac{3 (2 x)}{3 (9)} = 43$

Step 1.2.2

Cancel the common factor.

$\frac{3 (2 x)}{3 \cdot 9} = 43$

Step 1.2.3

Rewrite the expression.

$\frac{2 x}{9} = 43$

$\frac{2 x}{9} = 43$

$\frac{2 x}{9} = 43$

Step 2

Multiply both sides by $9$ .

$\frac{2 x}{9} \cdot 9 = 43 \cdot 9$

Step 3

Simplify.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $9$ .

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Step 3.1.1.1

Cancel the common factor.

$\frac{2 x}{9} \cdot 9 = 43 \cdot 9$

Step 3.1.1.2

Rewrite the expression.

$2 x = 43 \cdot 9$

$2 x = 43 \cdot 9$

$2 x = 43 \cdot 9$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $43$ by $9$ .

$2 x = 387$

$2 x = 387$

$2 x = 387$

Step 4

Divide each term in $2 x = 387$ by $2$ and simplify.

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Step 4.1

Divide each term in $2 x = 387$ by $2$ .

$\frac{2 x}{2} = \frac{387}{2}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $2$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{2 x}{2} = \frac{387}{2}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{387}{2}$

$x = \frac{387}{2}$

$x = \frac{387}{2}$

$x = \frac{387}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = \frac{387}{2}$

Decimal Form:

$x = 193.5$

Mixed Number Form:

$x = 193 \frac{1}{2}$

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