Algebra Examples

$- 6 + p + 9 = 8 - 4 p$

Step 1

Add $- 6$ and $9$ .

$p + 3 = 8 - 4 p$

Step 2

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

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Step 2.1

Add $4 p$ to both sides of the equation.

$p + 3 + 4 p = 8$

Step 2.2

Add $p$ and $4 p$ .

$5 p + 3 = 8$

Step 3

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

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Step 3.1

Subtract $3$ from both sides of the equation.

$5 p = 8 - 3$

Step 3.2

Subtract $3$ from $8$ .

$5 p = 5$

Step 4

Divide each term in $5 p = 5$ by $5$ and simplify.

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Step 4.1

Divide each term in $5 p = 5$ by $5$ .

$\frac{5 p}{5} = \frac{5}{5}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $5$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{5 p}{5} = \frac{5}{5}$

Step 4.2.1.2

Divide $p$ by $1$ .

$p = \frac{5}{5}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $5$ by $5$ .

$p = 1$