Algebra Examples

$3 (2 p + 1) = 5 (p + 1)$

Step 1

Simplify $3 (2 p + 1)$ .

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Step 1.1

Rewrite.

$0 + 0 + 3 (2 p + 1) = 5 (p + 1)$

Step 1.2

Simplify by adding zeros.

$3 (2 p + 1) = 5 (p + 1)$

Step 1.3

Apply the distributive property.

$3 (2 p) + 3 \cdot 1 = 5 (p + 1)$

Step 1.4

Multiply.

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Step 1.4.1

Multiply $2$ by $3$ .

$6 p + 3 \cdot 1 = 5 (p + 1)$

Step 1.4.2

Multiply $3$ by $1$ .

$6 p + 3 = 5 (p + 1)$

Step 2

Simplify $5 (p + 1)$ .

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Step 2.1

Apply the distributive property.

$6 p + 3 = 5 p + 5 \cdot 1$

Step 2.2

Multiply $5$ by $1$ .

$6 p + 3 = 5 p + 5$

Step 3

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

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Step 3.1

Subtract $5 p$ from both sides of the equation.

$6 p + 3 - 5 p = 5$

Step 3.2

Subtract $5 p$ from $6 p$ .

$p + 3 = 5$

Step 4

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

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Step 4.1

Subtract $3$ from both sides of the equation.

$p = 5 - 3$

Step 4.2

Subtract $3$ from $5$ .

$p = 2$