Finite Math Examples

$2 x \cdot 1 + 2 x \cdot 2 - 5 x \cdot 3 = - 9$

Step 1

Simplify $2 x \cdot 1 + 2 x \cdot 2 - 5 x \cdot 3$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Multiply $2$ by $1$ .

$2 x + 2 x \cdot 2 - 5 x \cdot 3 = - 9$

Step 1.1.2

Multiply $2$ by $2$ .

$2 x + 4 x - 5 x \cdot 3 = - 9$

Step 1.1.3

Multiply $3$ by $- 5$ .

$2 x + 4 x - 15 x = - 9$

Step 1.2

Simplify by adding terms.

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Step 1.2.1

Add $2 x$ and $4 x$ .

$6 x - 15 x = - 9$

Step 1.2.2

Subtract $15 x$ from $6 x$ .

$- 9 x = - 9$

Step 2

Divide each term in $- 9 x = - 9$ by $- 9$ and simplify.

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Step 2.1

Divide each term in $- 9 x = - 9$ by $- 9$ .

$\frac{- 9 x}{- 9} = \frac{- 9}{- 9}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 9$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 9 x}{- 9} = \frac{- 9}{- 9}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 9}{- 9}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $- 9$ by $- 9$ .

$x = 1$