Finite Math Examples

$12 x + 15 x - 9 + 5 = - 3 x + 5 - 9$

Step 1

Simplify $12 x + 15 x - 9 + 5$ .

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Step 1.1

Add $12 x$ and $15 x$ .

$27 x - 9 + 5 = - 3 x + 5 - 9$

Step 1.2

Add $- 9$ and $5$ .

$27 x - 4 = - 3 x + 5 - 9$

Step 2

Subtract $9$ from $5$ .

$27 x - 4 = - 3 x - 4$

Step 3

Move all terms containing $x$ to the left side of the equation.

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Step 3.1

Add $3 x$ to both sides of the equation.

$27 x - 4 + 3 x = - 4$

Step 3.2

Add $27 x$ and $3 x$ .

$30 x - 4 = - 4$

Step 4

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

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Step 4.1

Add $4$ to both sides of the equation.

$30 x = - 4 + 4$

Step 4.2

Add $- 4$ and $4$ .

$30 x = 0$

Step 5

Divide each term in $30 x = 0$ by $30$ and simplify.

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Step 5.1

Divide each term in $30 x = 0$ by $30$ .

$\frac{30 x}{30} = \frac{0}{30}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $30$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{30 x}{30} = \frac{0}{30}$

Step 5.2.1.2

Divide $x$ by $1$ .

$x = \frac{0}{30}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide $0$ by $30$ .

$x = 0$