Basic Math Examples

$9 x + 9 + 6 x + 6 = 180$

Step 1

Simplify $9 x + 9 + 6 x + 6$ .

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Step 1.1

Add $9 x$ and $6 x$ .

$15 x + 9 + 6 = 180$

Step 1.2

Add $9$ and $6$ .

$15 x + 15 = 180$

Step 2

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

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Step 2.1

Subtract $15$ from both sides of the equation.

$15 x = 180 - 15$

Step 2.2

Subtract $15$ from $180$ .

$15 x = 165$

Step 3

Divide each term in $15 x = 165$ by $15$ and simplify.

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Step 3.1

Divide each term in $15 x = 165$ by $15$ .

$\frac{15 x}{15} = \frac{165}{15}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $15$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{15 x}{15} = \frac{165}{15}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{165}{15}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $165$ by $15$ .

$x = 11$