Solve for x 7x-6i=14+yi

$7 x - 6 i = 14 + y i$

Step 1

Add $6 i$ to both sides of the equation.

$7 x = 14 + y i + 6 i$

Step 2

Divide each term in $7 x = 14 + y i + 6 i$ by $7$ and simplify.

Divide each term in $7 x = 14 + y i + 6 i$ by $7$ .

$\frac{7 x}{7} = \frac{14}{7} + \frac{y i}{7} + \frac{6 i}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 x}{7} = \frac{14}{7} + \frac{y i}{7} + \frac{6 i}{7}$

Divide $x$ by $1$ .

$x = \frac{14}{7} + \frac{y i}{7} + \frac{6 i}{7}$

Simplify the right side.

Divide $14$ by $7$ .

$x = 2 + \frac{y i}{7} + \frac{6 i}{7}$