Solve for x (6x)/27=43

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

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

Factor $3$ out of $6 x$ .

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

Cancel the common factors.

Factor $3$ out of $27$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Multiply both sides by $9$ .

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

Simplify.

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

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

Rewrite the expression.

$2 x = 43 \cdot 9$

$2 x = 43 \cdot 9$

$2 x = 43 \cdot 9$

Simplify the right side.

Multiply $43$ by $9$ .

$2 x = 387$

$2 x = 387$

$2 x = 387$

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

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

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

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

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

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = 193.5$

Mixed Number Form:

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

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