Solve for x 194/(13+x)=11.4

$\frac{194}{13 + x} = 11.4$

Multiply each term by $13 + x$ and simplify.

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Multiply each term in $\frac{194}{13 + x} = 11.4$ by $13 + x$ .

$\frac{194}{13 + x} \cdot (13 + x) = 11.4 \cdot (13 + x)$

Cancel the common factor of $13 + x$ .

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Cancel the common factor.

$\frac{194}{13 + x} \cdot (13 + x) = 11.4 \cdot (13 + x)$

Rewrite the expression.

$194 = 11.4 \cdot (13 + x)$

Simplify $11.4 \cdot (13 + x)$ .

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Apply the distributive property.

$194 = 11.4 \cdot 13 + 11.4 x$

Multiply $11.4$ by $13$ .

$194 = 148.2 + 11.4 x$

Rewrite the equation as $148.2 + 11.4 x = 194$ .

$148.2 + 11.4 x = 194$

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

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Subtract $148.2$ from both sides of the equation.

$11.4 x = 194 - 148.2$

Subtract $148.2$ from $194$ .

$11.4 x = 45.8$

Divide each term by $11.4$ and simplify.

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Divide each term in $11.4 x = 45.8$ by $11.4$ .

$\frac{11.4 x}{11.4} = \frac{45.8}{11.4}$

Cancel the common factor of $11.4$ .

$x = \frac{45.8}{11.4}$

Divide $45.8$ by $11.4$ .

$x = 4.01754385$

Solve for x 194/(13+x)=11.4

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