Pre-Algebra Examples

$3 p - 18 = 4 p - 4$

Step 1

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

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Step 1.1

Subtract $4 p$ from both sides of the equation.

$3 p - 18 - 4 p = - 4$

Step 1.2

Subtract $4 p$ from $3 p$ .

$- 1 p - 18 = - 4$

Step 2

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

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Step 2.1

Add $18$ to both sides of the equation.

$- 1 p = - 4 + 18$

Step 2.2

Add $- 4$ and $18$ .

$- 1 p = 14$

Step 3

Divide each term in $- 1 p = 14$ by $- 1$ and simplify.

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Step 3.1

Divide each term in $- 1 p = 14$ by $- 1$ .

$\frac{- 1 p}{- 1} = \frac{14}{- 1}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 1$ .

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Step 3.2.1.1

Rewrite $- 1$ as $- 1 (1)$ .

$\frac{- 1 (1) p}{- 1} = \frac{14}{- 1}$

Step 3.2.1.2

Factor $1$ out of $- 1 (1) p$ .

$\frac{1 (- 1 \cdot 1 p)}{- 1} = \frac{14}{- 1}$

Step 3.2.1.3

Move the negative one from the denominator of $\frac{- 1 \cdot 1 p}{- 1}$ .

$- 1 \cdot (- 1 \cdot 1 p) = \frac{14}{- 1}$

Step 3.2.2

Simplify the expression.

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Step 3.2.2.1

Rewrite $- 1 \cdot (- 1 \cdot 1 p)$ as $- (- 1 \cdot 1 p)$ .

$- (- 1 \cdot 1 p) = \frac{14}{- 1}$

Step 3.2.2.2

Multiply $- 1$ by $1$ .

$- (- 1 p) = \frac{14}{- 1}$

Step 3.2.2.3

Rewrite $- 1 p$ as $- p$ .

$- - p = \frac{14}{- 1}$

Step 3.2.3

Multiply $- - p$ .

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Step 3.2.3.1

Multiply $- 1$ by $- 1$ .

$1 p = \frac{14}{- 1}$

Step 3.2.3.2

Multiply $p$ by $1$ .

$p = \frac{14}{- 1}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $14$ by $- 1$ .

$p = - 14$