Algebra Examples

$3 (2 x + 5) = 3 x + 4 x$

Step 1

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$3 x + 4 x = 3 (2 x + 5)$

Step 2

Add $3 x$ and $4 x$ .

$7 x = 3 (2 x + 5)$

Step 3

Simplify $3 (2 x + 5)$ .

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Step 3.1

Apply the distributive property.

$7 x = 3 (2 x) + 3 \cdot 5$

Step 3.2

Multiply.

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Step 3.2.1

Multiply $2$ by $3$ .

$7 x = 6 x + 3 \cdot 5$

Step 3.2.2

Multiply $3$ by $5$ .

$7 x = 6 x + 15$

Step 4

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

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Step 4.1

Subtract $6 x$ from both sides of the equation.

$7 x - 6 x = 15$

Step 4.2

Subtract $6 x$ from $7 x$ .

$x = 15$