Basic Math Examples

$0.055 (p + 4000) = 0.06 p + 0.05 (1000)$

Step 1

Simplify $0.055 (p + 4000)$ .

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Step 1.1

Rewrite.

$0 + 0 + 0.055 (p + 4000) = 0.06 p + 0.05 (1000)$

Step 1.2

Simplify by adding zeros.

$0.055 (p + 4000) = 0.06 p + 0.05 (1000)$

Step 1.3

Apply the distributive property.

$0.055 p + 0.055 \cdot 4000 = 0.06 p + 0.05 (1000)$

Step 1.4

Multiply $0.055$ by $4000$ .

$0.055 p + 220 = 0.06 p + 0.05 (1000)$

Step 2

Multiply $0.05$ by $1000$ .

$0.055 p + 220 = 0.06 p + 50$

Step 3

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

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Step 3.1

Subtract $0.06 p$ from both sides of the equation.

$0.055 p + 220 - 0.06 p = 50$

Step 3.2

Subtract $0.06 p$ from $0.055 p$ .

$- 0.005 p + 220 = 50$

Step 4

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

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Step 4.1

Subtract $220$ from both sides of the equation.

$- 0.005 p = 50 - 220$

Step 4.2

Subtract $220$ from $50$ .

$- 0.005 p = - 170$

Step 5

Divide each term in $- 0.005 p = - 170$ by $- 0.005$ and simplify.

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Step 5.1

Divide each term in $- 0.005 p = - 170$ by $- 0.005$ .

$\frac{- 0.005 p}{- 0.005} = \frac{- 170}{- 0.005}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $- 0.005$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{- 0.005 p}{- 0.005} = \frac{- 170}{- 0.005}$

Step 5.2.1.2

Divide $p$ by $1$ .

$p = \frac{- 170}{- 0.005}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide $- 170$ by $- 0.005$ .

$p = 34000$