Solve for x 22(x+yi)+(28+4i)=72-62i

$22 (x + y i) + (28 + 4 i) = 72 - 62 i$

Apply the distributive property.

$22 x + 22 y i + 28 + 4 i = 72 - 62 i$

Move all terms not containing $x$ to the right side of the equation.

Subtract $22 y i$ from both sides of the equation.

$22 x + 28 + 4 i = 72 - 62 i - 22 y i$

Subtract $28$ from both sides of the equation.

$22 x + 4 i = 72 - 62 i - 22 y i - 28$

Subtract $4 i$ from both sides of the equation.

$22 x = 72 - 62 i - 22 y i - 28 - 4 i$

Subtract $28$ from $72$ .

$22 x = 44 - 62 i - 22 y i - 4 i$

Subtract $4 i$ from $- 62 i$ .

$22 x = 44 - 22 y i - 66 i$

Divide each term in $22 x = 44 - 22 y i - 66 i$ by $22$ and simplify.

Divide each term in $22 x = 44 - 22 y i - 66 i$ by $22$ .

$\frac{22 x}{22} = \frac{44}{22} + \frac{- 22 y i}{22} + \frac{- 66 i}{22}$

Simplify the left side.

Cancel the common factor of $22$ .

Cancel the common factor.

$\frac{22 x}{22} = \frac{44}{22} + \frac{- 22 y i}{22} + \frac{- 66 i}{22}$

Divide $x$ by $1$ .

$x = \frac{44}{22} + \frac{- 22 y i}{22} + \frac{- 66 i}{22}$

Simplify the right side.

Simplify each term.

Divide $44$ by $22$ .

$x = 2 + \frac{- 22 y i}{22} + \frac{- 66 i}{22}$

Cancel the common factor of $- 22$ and $22$ .

Factor $22$ out of $- 22 y i$ .

$x = 2 + \frac{22 (- y i)}{22} + \frac{- 66 i}{22}$

Cancel the common factors.

Factor $22$ out of $22$ .

$x = 2 + \frac{22 (- y i)}{22 (1)} + \frac{- 66 i}{22}$

Cancel the common factor.

$x = 2 + \frac{22 (- y i)}{22 \cdot 1} + \frac{- 66 i}{22}$

Rewrite the expression.

$x = 2 + \frac{- y i}{1} + \frac{- 66 i}{22}$

Divide $- y i$ by $1$ .

$x = 2 - y i + \frac{- 66 i}{22}$

Cancel the common factor of $- 66$ and $22$ .

Factor $22$ out of $- 66 i$ .

$x = 2 - y i + \frac{22 (- 3 i)}{22}$

Cancel the common factors.

Factor $22$ out of $22$ .

$x = 2 - y i + \frac{22 (- 3 i)}{22 (1)}$

Cancel the common factor.

$x = 2 - y i + \frac{22 (- 3 i)}{22 \cdot 1}$

Rewrite the expression.

$x = 2 - y i + \frac{- 3 i}{1}$

Divide $- 3 i$ by $1$ .

$x = 2 - y i - 3 i$

Solve for x 22(x+yi)+(28+4i)=72-62i

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