Finite Math Examples

$\frac{x}{5} - 7 = 2 q$

Step 1

Add $7$ to both sides of the equation.

$\frac{x}{5} = 2 q + 7$

Step 2

Multiply both sides of the equation by $5$ .

$5 \frac{x}{5} = 5 (2 q + 7)$

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.

$5 \frac{x}{5} = 5 (2 q + 7)$

Step 3.1.1.2

Rewrite the expression.

$x = 5 (2 q + 7)$

$x = 5 (2 q + 7)$

$x = 5 (2 q + 7)$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $5 (2 q + 7)$ .

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Step 3.2.1.1

Apply the distributive property.

$x = 5 (2 q) + 5 \cdot 7$

Step 3.2.1.2

Multiply.

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Step 3.2.1.2.1

Multiply $2$ by $5$ .

$x = 10 q + 5 \cdot 7$

Step 3.2.1.2.2

Multiply $5$ by $7$ .

$x = 10 q + 35$

$x = 10 q + 35$

$x = 10 q + 35$

$x = 10 q + 35$

$x = 10 q + 35$

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