Finite Math Examples

$3 p x = 2 q r - 10 q x$

Step 1

Add $10 q x$ to both sides of the equation.

$3 p x + 10 q x = 2 q r$

Step 2

Factor $x$ out of $3 p x + 10 q x$ .

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Step 2.1

Factor $x$ out of $3 p x$ .

$x (3 p) + 10 q x = 2 q r$

Step 2.2

Factor $x$ out of $10 q x$ .

$x (3 p) + x (10 q) = 2 q r$

Step 2.3

Factor $x$ out of $x (3 p) + x (10 q)$ .

$x (3 p + 10 q) = 2 q r$

Step 3

Divide each term in $x (3 p + 10 q) = 2 q r$ by $3 p + 10 q$ and simplify.

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Step 3.1

Divide each term in $x (3 p + 10 q) = 2 q r$ by $3 p + 10 q$ .

$\frac{x (3 p + 10 q)}{3 p + 10 q} = \frac{2 q r}{3 p + 10 q}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $3 p + 10 q$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{x (3 p + 10 q)}{3 p + 10 q} = \frac{2 q r}{3 p + 10 q}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{2 q r}{3 p + 10 q}$