Solve for x -12+8yi=3x-i

$- 12 + 8 y i = 3 x - i$

Step 1

Rewrite the equation as $3 x - i = - 12 + 8 y i$ .

$3 x - i = - 12 + 8 y i$

Step 2

Add $i$ to both sides of the equation.

$3 x = - 12 + 8 y i + i$

Step 3

Divide each term in $3 x = - 12 + 8 y i + i$ by $3$ and simplify.

Divide each term in $3 x = - 12 + 8 y i + i$ by $3$ .

$\frac{3 x}{3} = \frac{- 12}{3} + \frac{8 y i}{3} + \frac{i}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{- 12}{3} + \frac{8 y i}{3} + \frac{i}{3}$

Divide $x$ by $1$ .

$x = \frac{- 12}{3} + \frac{8 y i}{3} + \frac{i}{3}$

Simplify the right side.

Divide $- 12$ by $3$ .

$x = - 4 + \frac{8 y i}{3} + \frac{i}{3}$