Algebra Examples

$14 p + 20 + 7 = 16 p - 3$

Step 1

Add $20$ and $7$ .

$14 p + 27 = 16 p - 3$

Step 2

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

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Step 2.1

Subtract $16 p$ from both sides of the equation.

$14 p + 27 - 16 p = - 3$

Step 2.2

Subtract $16 p$ from $14 p$ .

$- 2 p + 27 = - 3$

Step 3

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

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Step 3.1

Subtract $27$ from both sides of the equation.

$- 2 p = - 3 - 27$

Step 3.2

Subtract $27$ from $- 3$ .

$- 2 p = - 30$

Step 4

Divide each term in $- 2 p = - 30$ by $- 2$ and simplify.

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Step 4.1

Divide each term in $- 2 p = - 30$ by $- 2$ .

$\frac{- 2 p}{- 2} = \frac{- 30}{- 2}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $- 2$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{- 2 p}{- 2} = \frac{- 30}{- 2}$

Step 4.2.1.2

Divide $p$ by $1$ .

$p = \frac{- 30}{- 2}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $- 30$ by $- 2$ .

$p = 15$