Solve 7.3alpha=2x-13

$$7.3 \alpha = 2 x - 13$$

Solve for x

$$x=\frac{73\alpha }{20}+6.5$$

Steps for Solving Linear Equation

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

$$2x-13=7.3\alpha$$

Add 13 to both sides.

$$2x=7.3\alpha +13$$

The equation is in standard form.

$$2x=\frac{73\alpha }{10}+13$$

Divide both sides by 2.

$$\frac{2x}{2}=\frac{\frac{73\alpha }{10}+13}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x=\frac{\frac{73\alpha }{10}+13}{2}$$

Divide \frac{73\alpha }{10}+13 by 2.

$$x=\frac{73\alpha }{20}+\frac{13}{2}$$

Solve for α

$$\alpha =\frac{20x-130}{73}$$

Steps for Solving Linear Equation

The equation is in standard form.

$$7.3\alpha =2x-13$$

Divide both sides of the equation by 7.3, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{7.3\alpha }{7.3}=\frac{2x-13}{7.3}$$

Dividing by 7.3 undoes the multiplication by 7.3.

$$\alpha =\frac{2x-13}{7.3}$$

Divide 2x-13 by 7.3 by multiplying 2x-13 by the reciprocal of 7.3.

$$\alpha =\frac{20x-130}{73}$$