Finite Math Examples

$2 (4) + 2 (5) + 2 (11) + (18) + (m - 49.5) (21) = 97$

Step 1

Simplify $2 (4) + 2 (5) + 2 (11) + 18 + (m - 49.5) (21)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Multiply $2$ by $4$ .

$8 + 2 (5) + 2 (11) + 18 + (m - 49.5) (21) = 97$

Step 1.1.2

Multiply $2$ by $5$ .

$8 + 10 + 2 (11) + 18 + (m - 49.5) (21) = 97$

Step 1.1.3

Multiply $2$ by $11$ .

$8 + 10 + 22 + 18 + (m - 49.5) (21) = 97$

Step 1.1.4

Apply the distributive property.

$8 + 10 + 22 + 18 + m \cdot 21 - 49.5 \cdot 21 = 97$

Step 1.1.5

Move $21$ to the left of $m$ .

$8 + 10 + 22 + 18 + 21 \cdot m - 49.5 \cdot 21 = 97$

Step 1.1.6

Multiply $- 49.5$ by $21$ .

$8 + 10 + 22 + 18 + 21 m - 1039.5 = 97$

Step 1.2

Simplify by adding and subtracting.

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Step 1.2.1

Add $8$ and $10$ .

$18 + 22 + 18 + 21 m - 1039.5 = 97$

Step 1.2.2

Add $18$ and $22$ .

$40 + 18 + 21 m - 1039.5 = 97$

Step 1.2.3

Add $40$ and $18$ .

$58 + 21 m - 1039.5 = 97$

Step 1.2.4

Subtract $1039.5$ from $58$ .

$21 m - 981.5 = 97$

Step 2

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

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Step 2.1

Add $981.5$ to both sides of the equation.

$21 m = 97 + 981.5$

Step 2.2

Add $97$ and $981.5$ .

$21 m = 1078.5$

Step 3

Divide each term in $21 m = 1078.5$ by $21$ and simplify.

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Step 3.1

Divide each term in $21 m = 1078.5$ by $21$ .

$\frac{21 m}{21} = \frac{1078.5}{21}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $21$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{21 m}{21} = \frac{1078.5}{21}$

Step 3.2.1.2

Divide $m$ by $1$ .

$m = \frac{1078.5}{21}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $1078.5$ by $21$ .

$m = 51.3\overline{571428}$