Finite Math Examples

$\frac{x}{5} - 5 = 7$

Step 1

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

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Step 1.1

Add $5$ to both sides of the equation.

$\frac{x}{5} = 7 + 5$

Step 1.2

Add $7$ and $5$ .

$\frac{x}{5} = 12$

Step 2

Multiply both sides of the equation by $5$ .

$5 \frac{x}{5} = 5 \cdot 12$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $5$ .

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Step 3.1.1.1

Cancel the common factor.

$5 \frac{x}{5} = 5 \cdot 12$

Step 3.1.1.2

Rewrite the expression.

$x = 5 \cdot 12$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $5$ by $12$ .

$x = 60$