Solve x=V[14+7/2]*7/[frac{14{23}]*15}

$$x = \frac { V [ \frac { 14 + 7 } { 2 } ] \times 7 } { [ \frac { 14 } { 23 } ] \times 15 }$$

Solve for V

$$V=\frac{20x}{161}$$

Steps for Solving Linear Equation

Add 14 and 7 to get 21.

$$x=\frac{V\times \frac{21}{2}\times 7}{\frac{14}{23}\times 15}$$

Multiply \frac{21}{2} and 7 to get \frac{147}{2}.

$$x=\frac{V\times \frac{147}{2}}{\frac{14}{23}\times 15}$$

Multiply \frac{14}{23} and 15 to get \frac{210}{23}.

$$x=\frac{V\times \frac{147}{2}}{\frac{210}{23}}$$

Divide V\times \frac{147}{2} by \frac{210}{23} to get V\times \frac{161}{20}.

$$x=V\times \frac{161}{20}$$

Swap sides so that all variable terms are on the left hand side.

$$V\times \frac{161}{20}=x$$

The equation is in standard form.

$$\frac{161}{20}V=x$$

Divide both sides of the equation by \frac{161}{20}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{161}{20}V}{\frac{161}{20}}=\frac{x}{\frac{161}{20}}$$

Dividing by \frac{161}{20} undoes the multiplication by \frac{161}{20}.

$$V=\frac{x}{\frac{161}{20}}$$

Divide x by \frac{161}{20} by multiplying x by the reciprocal of \frac{161}{20}.

$$V=\frac{20x}{161}$$

Solve for x

$$x=\frac{161V}{20}$$

Solution Steps

Add 14 and 7 to get 21.

$$x=\frac{V\times \frac{21}{2}\times 7}{\frac{14}{23}\times 15}$$

Multiply \frac{21}{2} and 7 to get \frac{147}{2}.

$$x=\frac{V\times \frac{147}{2}}{\frac{14}{23}\times 15}$$

Multiply \frac{14}{23} and 15 to get \frac{210}{23}.

$$x=\frac{V\times \frac{147}{2}}{\frac{210}{23}}$$

Divide V\times \frac{147}{2} by \frac{210}{23} to get V\times \frac{161}{20}.

$$x=V\times \frac{161}{20}$$