Finite Math Examples

$3 x - 17 = 6^{4}$

Step 1

Raise $6$ to the power of $4$ .

$3 x - 17 = 1296$

Step 2

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

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Step 2.1

Add $17$ to both sides of the equation.

$3 x = 1296 + 17$

Step 2.2

Add $1296$ and $17$ .

$3 x = 1313$

Step 3

Divide each term in $3 x = 1313$ by $3$ and simplify.

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Step 3.1

Divide each term in $3 x = 1313$ by $3$ .

$\frac{3 x}{3} = \frac{1313}{3}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $3$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{3 x}{3} = \frac{1313}{3}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{1313}{3}$

Step 4