Basic Math Examples

$2 p - 3 q = 7$

Step 1

Subtract $2 p$ from both sides of the equation.

$- 3 q = 7 - 2 p$

Step 2

Divide each term in $- 3 q = 7 - 2 p$ by $- 3$ and simplify.

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Step 2.1

Divide each term in $- 3 q = 7 - 2 p$ by $- 3$ .

$\frac{- 3 q}{- 3} = \frac{7}{- 3} + \frac{- 2 p}{- 3}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 3$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 3 q}{- 3} = \frac{7}{- 3} + \frac{- 2 p}{- 3}$

Step 2.2.1.2

Divide $q$ by $1$ .

$q = \frac{7}{- 3} + \frac{- 2 p}{- 3}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

Move the negative in front of the fraction.

$q = - \frac{7}{3} + \frac{- 2 p}{- 3}$

Step 2.3.1.2

Dividing two negative values results in a positive value.

$q = - \frac{7}{3} + \frac{2 p}{3}$