Basic Math Examples

$p = 315 - 4 p + 3 p - 75$

Step 1

Since $p$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$315 - 4 p + 3 p - 75 = p$

Step 2

Simplify $315 - 4 p + 3 p - 75$ .

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Step 2.1

Subtract $75$ from $315$ .

$- 4 p + 3 p + 240 = p$

Step 2.2

Add $- 4 p$ and $3 p$ .

$- p + 240 = p$

Step 3

Move all terms containing $p$ to the left side of the equation.

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Step 3.1

Subtract $p$ from both sides of the equation.

$- p + 240 - p = 0$

Step 3.2

Subtract $p$ from $- p$ .

$- 2 p + 240 = 0$

Step 4

Subtract $240$ from both sides of the equation.

$- 2 p = - 240$

Step 5

Divide each term in $- 2 p = - 240$ by $- 2$ and simplify.

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Step 5.1

Divide each term in $- 2 p = - 240$ by $- 2$ .

$\frac{- 2 p}{- 2} = \frac{- 240}{- 2}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $- 2$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{- 2 p}{- 2} = \frac{- 240}{- 2}$

Step 5.2.1.2

Divide $p$ by $1$ .

$p = \frac{- 240}{- 2}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide $- 240$ by $- 2$ .

$p = 120$