Finite Math Examples

$8 + 12 i + 19 x = 10 - 16 i + 3 y i$

Step 1

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

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Step 1.1

Subtract $8$ from both sides of the equation.

$12 i + 19 x = 10 - 16 i + 3 y i - 8$

Step 1.2

Subtract $12 i$ from both sides of the equation.

$19 x = 10 - 16 i + 3 y i - 8 - 12 i$

Step 1.3

Subtract $8$ from $10$ .

$19 x = 2 - 16 i + 3 y i - 12 i$

Step 1.4

Subtract $12 i$ from $- 16 i$ .

$19 x = 2 + 3 y i - 28 i$

Step 2

Divide each term in $19 x = 2 + 3 y i - 28 i$ by $19$ and simplify.

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Step 2.1

Divide each term in $19 x = 2 + 3 y i - 28 i$ by $19$ .

$\frac{19 x}{19} = \frac{2}{19} + \frac{3 y i}{19} + \frac{- 28 i}{19}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $19$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{19 x}{19} = \frac{2}{19} + \frac{3 y i}{19} + \frac{- 28 i}{19}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{2}{19} + \frac{3 y i}{19} + \frac{- 28 i}{19}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Move the negative in front of the fraction.

$x = \frac{2}{19} + \frac{3 y i}{19} - \frac{28 i}{19}$