Solve ax-2x+1*i=-4

$$a x - 2 x + 1 \times i = - 4$$

Solve for a

$$a=2+\frac{-4-i}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Add 2x to both sides.

$$ax+i=-4+2x$$

Subtract i from both sides.

$$ax=-4+2x-i$$

The equation is in standard form.

$$xa=2x+\left(-4-i\right)$$

Divide both sides by x.

$$\frac{xa}{x}=\frac{2x+\left(-4-i\right)}{x}$$

Dividing by x undoes the multiplication by x.

$$a=\frac{2x+\left(-4-i\right)}{x}$$

Divide -4-i+2x by x.

$$a=2+\frac{-4-i}{x}$$

Solve for x

$$x=\frac{-4-i}{a-2}$$

$$a\neq 2$$

Steps for Solving Linear Equation

Subtract i from both sides.

$$ax-2x=-4-i$$

Combine all terms containing x.

$$\left(a-2\right)x=-4-i$$

Divide both sides by a-2.

$$\frac{\left(a-2\right)x}{a-2}=\frac{-4-i}{a-2}$$

Dividing by a-2 undoes the multiplication by a-2.

$$x=\frac{-4-i}{a-2}$$