Finite Math Examples

$188 = 2 l + 2 w + 22$

Step 1

Rewrite the equation as $2 l + 2 w + 22 = 188$ .

$2 l + 2 w + 22 = 188$

Step 2

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

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Step 2.1

Subtract $2 w$ from both sides of the equation.

$2 l + 22 = 188 - 2 w$

Step 2.2

Subtract $22$ from both sides of the equation.

$2 l = 188 - 2 w - 22$

Step 2.3

Subtract $22$ from $188$ .

$2 l = - 2 w + 166$

$2 l = - 2 w + 166$

Step 3

Divide each term in $2 l = - 2 w + 166$ by $2$ and simplify.

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Step 3.1

Divide each term in $2 l = - 2 w + 166$ by $2$ .

$\frac{2 l}{2} = \frac{- 2 w}{2} + \frac{166}{2}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $2$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{2 l}{2} = \frac{- 2 w}{2} + \frac{166}{2}$

Step 3.2.1.2

Divide $l$ by $1$ .

$l = \frac{- 2 w}{2} + \frac{166}{2}$

$l = \frac{- 2 w}{2} + \frac{166}{2}$

$l = \frac{- 2 w}{2} + \frac{166}{2}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Simplify each term.

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Step 3.3.1.1

Cancel the common factor of $- 2$ and $2$ .

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Step 3.3.1.1.1

Factor $2$ out of $- 2 w$ .

$l = \frac{2 (- w)}{2} + \frac{166}{2}$

Step 3.3.1.1.2

Cancel the common factors.

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Step 3.3.1.1.2.1

Factor $2$ out of $2$ .

$l = \frac{2 (- w)}{2 (1)} + \frac{166}{2}$

Step 3.3.1.1.2.2

Cancel the common factor.

$l = \frac{2 (- w)}{2 \cdot 1} + \frac{166}{2}$

Step 3.3.1.1.2.3

Rewrite the expression.

$l = \frac{- w}{1} + \frac{166}{2}$

Step 3.3.1.1.2.4

Divide $- w$ by $1$ .

$l = - w + \frac{166}{2}$

$l = - w + \frac{166}{2}$

$l = - w + \frac{166}{2}$

Step 3.3.1.2

Divide $166$ by $2$ .

$l = - w + 83$

$l = - w + 83$

$l = - w + 83$

$l = - w + 83$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$