Algebra Examples

$2 x + 7 + (3 - y) i = - 4 + 6 i$

Step 1

Apply the distributive property.

$2 x + 7 + 3 i - y i = - 4 + 6 i$

Step 2

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

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Step 2.1

Subtract $7$ from both sides of the equation.

$2 x + 3 i - y i = - 4 + 6 i - 7$

Step 2.2

Subtract $3 i$ from both sides of the equation.

$2 x - y i = - 4 + 6 i - 7 - 3 i$

Step 2.3

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

$2 x = - 4 + 6 i - 7 - 3 i + y i$

Step 2.4

Subtract $7$ from $- 4$ .

$2 x = - 11 + 6 i - 3 i + y i$

Step 2.5

Subtract $3 i$ from $6 i$ .

$2 x = - 11 + 3 i + y i$

Step 3

Divide each term in $2 x = - 11 + 3 i + y i$ by $2$ and simplify.

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Step 3.1

Divide each term in $2 x = - 11 + 3 i + y i$ by $2$ .

$\frac{2 x}{2} = \frac{- 11}{2} + \frac{3 i}{2} + \frac{y i}{2}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $2$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{2 x}{2} = \frac{- 11}{2} + \frac{3 i}{2} + \frac{y i}{2}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 11}{2} + \frac{3 i}{2} + \frac{y i}{2}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Move the negative in front of the fraction.

$x = - \frac{11}{2} + \frac{3 i}{2} + \frac{y i}{2}$