Finite Math Examples

$414.5 - 17 = 0.75 x + 17 - 17$

Step 1

Rewrite the equation as $0.75 x + 17 - 17 = 414.5 - 17$ .

$0.75 x + 17 - 17 = 414.5 - 17$

Step 2

Combine the opposite terms in $0.75 x + 17 - 17$ .

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Step 2.1

Subtract $17$ from $17$ .

$0.75 x + 0 = 414.5 - 17$

Step 2.2

Add $0.75 x$ and $0$ .

$0.75 x = 414.5 - 17$

Step 3

Subtract $17$ from $414.5$ .

$0.75 x = 397.5$

Step 4

Divide each term in $0.75 x = 397.5$ by $0.75$ and simplify.

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Step 4.1

Divide each term in $0.75 x = 397.5$ by $0.75$ .

$\frac{0.75 x}{0.75} = \frac{397.5}{0.75}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $0.75$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{0.75 x}{0.75} = \frac{397.5}{0.75}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{397.5}{0.75}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $397.5$ by $0.75$ .

$x = 530$