Solve y=(x+2x-5)divx-3

$$y=(x+2x-5) \div x-3$$

Solve for x

$$x=-\frac{5}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

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

$$yx=x+2x-5+x\left(-3\right)$$

Combine x and 2x to get 3x.

$$yx=3x-5+x\left(-3\right)$$

Combine 3x and x\left(-3\right) to get 0.

$$yx=-5$$

Divide both sides by y.

$$\frac{yx}{y}=-\frac{5}{y}$$

Dividing by y undoes the multiplication by y.

$$x=-\frac{5}{y}$$

Variable x cannot be equal to 0.

$$x=-\frac{5}{y}\text{, }x\neq 0$$

Solve for y

$$y=-\frac{5}{x}$$

$$x\neq 0$$