Solve n-9+x=5x-7i

$$n - 9 + x = 5 x - 7 i$$

Solve for x

$$x=\frac{n+\left(-9+7i\right)}{4}$$

Steps for Solving Linear Equation

Subtract 5x from both sides.

$$n-9+x-5x=-7i$$

Combine x and -5x to get -4x.

$$n-9-4x=-7i$$

Subtract n from both sides.

$$-9-4x=-7i-n$$

Add 9 to both sides.

$$-4x=-7i-n+9$$

The equation is in standard form.

$$-4x=9-7i-n$$

Divide both sides by -4.

$$\frac{-4x}{-4}=\frac{9-7i-n}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$x=\frac{9-7i-n}{-4}$$

Divide 9-7i-n by -4.

$$x=\frac{n}{4}+\left(-\frac{9}{4}+\frac{7}{4}i\right)$$

Solve for n

$$n=4x+\left(9-7i\right)$$