Finite Math Examples

$5.3 x + 325 = 1.3 x$

Step 1

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

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Step 1.1

Subtract $1.3 x$ from both sides of the equation.

$5.3 x + 325 - 1.3 x = 0$

Step 1.2

Subtract $1.3 x$ from $5.3 x$ .

$4 x + 325 = 0$

$4 x + 325 = 0$

Step 2

Subtract $325$ from both sides of the equation.

$4 x = - 325$

Step 3

Divide each term in $4 x = - 325$ by $4$ and simplify.

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Step 3.1

Divide each term in $4 x = - 325$ by $4$ .

$\frac{4 x}{4} = \frac{- 325}{4}$

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.

$\frac{4 x}{4} = \frac{- 325}{4}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 325}{4}$

$x = \frac{- 325}{4}$

$x = \frac{- 325}{4}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Cancel the common factor of $- 325$ and $4$ .

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Step 3.3.1.1

Rewrite $- 325$ as $1 (- 325)$ .

$x = \frac{1 (- 325)}{4}$

Step 3.3.1.2

Cancel the common factors.

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Step 3.3.1.2.1

Rewrite $4$ as $1 (4)$ .

$x = \frac{1 \cdot - 325}{1 \cdot 4}$

Step 3.3.1.2.2

Cancel the common factor.

$x = \frac{1 \cdot - 325}{1 \cdot 4}$

Step 3.3.1.2.3

Rewrite the expression.

$x = \frac{- 325}{4}$

$x = \frac{- 325}{4}$

$x = \frac{- 325}{4}$

Step 3.3.2

Move the negative in front of the fraction.

$x = - \frac{325}{4}$

$x = - \frac{325}{4}$

$x = - \frac{325}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{325}{4}$

Decimal Form:

$x = - 81.25$

Mixed Number Form:

$x = - 81 \frac{1}{4}$

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