Solve 2θ=68/100*(9/5x+32)

$$2 \theta = \frac{ 68 }{ 100 } \times ( \frac{ 9 }{ 5 } x+32)$$

Solve for x

$$x=\frac{250\theta }{153}-\frac{160}{9}$$

Steps for Solving Linear Equation

Reduce the fraction \frac{68}{100} to lowest terms by extracting and canceling out 4.

$$2\theta =\frac{17}{25}\left(\frac{9}{5}x+32\right)$$

Use the distributive property to multiply \frac{17}{25} by \frac{9}{5}x+32.

$$2\theta =\frac{153}{125}x+\frac{544}{25}$$

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

$$\frac{153}{125}x+\frac{544}{25}=2\theta$$

Subtract \frac{544}{25} from both sides.

$$\frac{153}{125}x=2\theta -\frac{544}{25}$$

Divide both sides of the equation by \frac{153}{125}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{153}{125}x}{\frac{153}{125}}=\frac{2\theta -\frac{544}{25}}{\frac{153}{125}}$$

Dividing by \frac{153}{125} undoes the multiplication by \frac{153}{125}.

$$x=\frac{2\theta -\frac{544}{25}}{\frac{153}{125}}$$

Divide 2\theta -\frac{544}{25} by \frac{153}{125} by multiplying 2\theta -\frac{544}{25} by the reciprocal of \frac{153}{125}.

$$x=\frac{250\theta }{153}-\frac{160}{9}$$

Solve for θ

$$\theta =\frac{153x}{250}+\frac{272}{25}$$

Steps for Solving Linear Equation

Reduce the fraction \frac{68}{100} to lowest terms by extracting and canceling out 4.

$$2\theta =\frac{17}{25}\left(\frac{9}{5}x+32\right)$$

Use the distributive property to multiply \frac{17}{25} by \frac{9}{5}x+32.

$$2\theta =\frac{153}{125}x+\frac{544}{25}$$

The equation is in standard form.

$$2\theta =\frac{153x}{125}+\frac{544}{25}$$

Divide both sides by 2.

$$\frac{2\theta }{2}=\frac{\frac{153x}{125}+\frac{544}{25}}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$\theta =\frac{\frac{153x}{125}+\frac{544}{25}}{2}$$

Divide \frac{153x}{125}+\frac{544}{25} by 2.

$$\theta =\frac{153x}{250}+\frac{272}{25}$$