Algebra Examples

$3 x - 8 + 9 x$

Step 1

Set $3 x - 8 + 9 x$ equal to $0$ .

$3 x - 8 + 9 x = 0$

Step 2

Solve for $x$ .

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Step 2.1

Add $3 x$ and $9 x$ .

$12 x - 8 = 0$

Step 2.2

Add $8$ to both sides of the equation.

$12 x = 8$

Step 2.3

Divide each term in $12 x = 8$ by $12$ and simplify.

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Step 2.3.1

Divide each term in $12 x = 8$ by $12$ .

$\frac{12 x}{12} = \frac{8}{12}$

Step 2.3.2

Simplify the left side.

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Step 2.3.2.1

Cancel the common factor of $12$ .

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Step 2.3.2.1.1

Cancel the common factor.

$\frac{12 x}{12} = \frac{8}{12}$

Step 2.3.2.1.2

Divide $x$ by $1$ .

$x = \frac{8}{12}$

$x = \frac{8}{12}$

$x = \frac{8}{12}$

Step 2.3.3

Simplify the right side.

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Step 2.3.3.1

Cancel the common factor of $8$ and $12$ .

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Step 2.3.3.1.1

Factor $4$ out of $8$ .

$x = \frac{4 (2)}{12}$

Step 2.3.3.1.2

Cancel the common factors.

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Step 2.3.3.1.2.1

Factor $4$ out of $12$ .

$x = \frac{4 \cdot 2}{4 \cdot 3}$

Step 2.3.3.1.2.2

Cancel the common factor.

$x = \frac{4 \cdot 2}{4 \cdot 3}$

Step 2.3.3.1.2.3

Rewrite the expression.

$x = \frac{2}{3}$

$x = \frac{2}{3}$

$x = \frac{2}{3}$

$x = \frac{2}{3}$

$x = \frac{2}{3}$

$x = \frac{2}{3}$

Step 3

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$