Solve (2alpha3440-130:x):35=6020

$$( 2 \alpha 3440 - 130 : x ) : 35 = 6020$$

Solve for x

$$x=-\frac{65}{105350-\alpha _{3440}}$$

$$\alpha _{3440}\neq 105350$$

Steps for Solving Linear Equation

Multiply both sides by 35.

$$2\alpha _{3440}-\frac{130}{x}=6020\times 35$$

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$2\alpha _{3440}x-130=6020\times 35x$$

Multiply 6020 and 35 to get 210700.

$$2\alpha _{3440}x-130=210700x$$

Subtract 210700x from both sides.

$$2\alpha _{3440}x-130-210700x=0$$

Add 130 to both sides. Anything plus zero gives itself.

$$2\alpha _{3440}x-210700x=130$$

Combine all terms containing x.

$$\left(2\alpha _{3440}-210700\right)x=130$$

Divide both sides by 2\alpha _{3440}-210700.

$$\frac{\left(2\alpha _{3440}-210700\right)x}{2\alpha _{3440}-210700}=\frac{130}{2\alpha _{3440}-210700}$$

Dividing by 2\alpha _{3440}-210700 undoes the multiplication by 2\alpha _{3440}-210700.

$$x=\frac{130}{2\alpha _{3440}-210700}$$

Divide 130 by 2\alpha _{3440}-210700.

$$x=\frac{65}{\alpha _{3440}-105350}$$

Variable x cannot be equal to 0.

$$x=\frac{65}{\alpha _{3440}-105350}\text{, }x\neq 0$$

Solve for α_3440

$$\alpha _{3440}=105350+\frac{65}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides by 35.

$$2\alpha _{3440}-\frac{130}{x}=6020\times 35$$

Multiply both sides of the equation by x.

$$2\alpha _{3440}x-130=6020\times 35x$$

Multiply 6020 and 35 to get 210700.

$$2\alpha _{3440}x-130=210700x$$

Add 130 to both sides.

$$2\alpha _{3440}x=210700x+130$$

The equation is in standard form.

$$2x\alpha _{3440}=210700x+130$$

Divide both sides by 2x.

$$\frac{2x\alpha _{3440}}{2x}=\frac{210700x+130}{2x}$$

Dividing by 2x undoes the multiplication by 2x.

$$\alpha _{3440}=\frac{210700x+130}{2x}$$

Divide 210700x+130 by 2x.

$$\alpha _{3440}=105350+\frac{65}{x}$$