Finite Math Examples

$7 x + 90 = 11 x + 9$

Step 1

Move all terms containing $x$ to the left side of the equation.

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Step 1.1

Subtract $11 x$ from both sides of the equation.

$7 x + 90 - 11 x = 9$

Step 1.2

Subtract $11 x$ from $7 x$ .

$- 4 x + 90 = 9$

Step 2

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

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Step 2.1

Subtract $90$ from both sides of the equation.

$- 4 x = 9 - 90$

Step 2.2

Subtract $90$ from $9$ .

$- 4 x = - 81$

Step 3

Divide each term in $- 4 x = - 81$ by $- 4$ and simplify.

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Step 3.1

Divide each term in $- 4 x = - 81$ by $- 4$ .

$\frac{- 4 x}{- 4} = \frac{- 81}{- 4}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 4$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{- 4 x}{- 4} = \frac{- 81}{- 4}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 81}{- 4}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Dividing two negative values results in a positive value.

$x = \frac{81}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{81}{4}$

Decimal Form:

$x = 20.25$

Mixed Number Form:

$x = 20 \frac{1}{4}$