Finite Math Examples

$z = 2 x \cdot 1 + x \cdot 2 + 2 x \cdot 3 + 2 x \cdot 3$

Step 1

Rewrite the equation as $2 x \cdot 1 + x \cdot 2 + 2 x \cdot 3 + 2 x \cdot 3 = z$ .

$2 x \cdot 1 + x \cdot 2 + 2 x \cdot 3 + 2 x \cdot 3 = z$

Step 2

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

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply $2$ by $1$ .

$2 x + x \cdot 2 + 2 x \cdot 3 + 2 x \cdot 3 = z$

Step 2.1.2

Move $2$ to the left of $x$ .

$2 x + 2 \cdot x + 2 x \cdot 3 + 2 x \cdot 3 = z$

Step 2.1.3

Multiply $3$ by $2$ .

$2 x + 2 x + 6 x + 2 x \cdot 3 = z$

Step 2.1.4

Multiply $3$ by $2$ .

$2 x + 2 x + 6 x + 6 x = z$

Step 2.2

Simplify by adding terms.

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Step 2.2.1

Add $2 x$ and $2 x$ .

$4 x + 6 x + 6 x = z$

Step 2.2.2

Add $4 x$ and $6 x$ .

$10 x + 6 x = z$

Step 2.2.3

Add $10 x$ and $6 x$ .

$16 x = z$

Step 3

Divide each term in $16 x = z$ by $16$ and simplify.

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Step 3.1

Divide each term in $16 x = z$ by $16$ .

$\frac{16 x}{16} = \frac{z}{16}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $16$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{16 x}{16} = \frac{z}{16}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{z}{16}$