Finite Math Examples

$8 (x - 9) - 9 (x - 8) = x + 8 - (x - 6)$

Step 1

Simplify $8 (x - 9) - 9 (x - 8)$ .

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Step 1.1

Rewrite.

$8 (x - 9) - 9 (x - 8) - x + x = x + 8 - (x - 6)$

Step 1.2

Simplify by adding terms.

$8 (x - 9) - 9 (x - 8) = x + 8 - (x - 6)$

Step 1.3

Simplify each term.

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Step 1.3.1

Apply the distributive property.

$8 x + 8 \cdot - 9 - 9 (x - 8) = x + 8 - (x - 6)$

Step 1.3.2

Multiply $8$ by $- 9$ .

$8 x - 72 - 9 (x - 8) = x + 8 - (x - 6)$

Step 1.3.3

Apply the distributive property.

$8 x - 72 - 9 x - 9 \cdot - 8 = x + 8 - (x - 6)$

Step 1.3.4

Multiply $- 9$ by $- 8$ .

$8 x - 72 - 9 x + 72 = x + 8 - (x - 6)$

$8 x - 72 - 9 x + 72 = x + 8 - (x - 6)$

Step 1.4

Simplify by adding terms.

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Step 1.4.1

Combine the opposite terms in $8 x - 72 - 9 x + 72$ .

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Step 1.4.1.1

Add $- 72$ and $72$ .

$8 x - 9 x + 0 = x + 8 - (x - 6)$

Step 1.4.1.2

Add $8 x - 9 x$ and $0$ .

$8 x - 9 x = x + 8 - (x - 6)$

$8 x - 9 x = x + 8 - (x - 6)$

Step 1.4.2

Subtract $9 x$ from $8 x$ .

$- x = x + 8 - (x - 6)$

$- x = x + 8 - (x - 6)$

$- x = x + 8 - (x - 6)$

Step 2

Simplify $x + 8 - (x - 6)$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$- x = x + 8 - x - - 6$

Step 2.1.2

Multiply $- 1$ by $- 6$ .

$- x = x + 8 - x + 6$

$- x = x + 8 - x + 6$

Step 2.2

Simplify by adding terms.

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Step 2.2.1

Combine the opposite terms in $x + 8 - x + 6$ .

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Step 2.2.1.1

Subtract $x$ from $x$ .

$- x = 0 + 8 + 6$

Step 2.2.1.2

Add $0$ and $8$ .

$- x = 8 + 6$

$- x = 8 + 6$

Step 2.2.2

Add $8$ and $6$ .

$- x = 14$

$- x = 14$

$- x = 14$

Step 3

Divide each term in $- x = 14$ by $- 1$ and simplify.

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Step 3.1

Divide each term in $- x = 14$ by $- 1$ .

$\frac{- x}{- 1} = \frac{14}{- 1}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{14}{- 1}$

Step 3.2.2

Divide $x$ by $1$ .

$x = \frac{14}{- 1}$

$x = \frac{14}{- 1}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $14$ by $- 1$ .

$x = - 14$

$x = - 14$

$x = - 14$

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