Pre-Algebra Examples

$9 x = 6 (x + \frac{3}{4})$

Step 1

Simplify $6 (x + \frac{3}{4})$ .

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Step 1.1

Apply the distributive property.

$9 x = 6 x + 6 (\frac{3}{4})$

Step 1.2

Cancel the common factor of $2$ .

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Step 1.2.1

Factor $2$ out of $6$ .

$9 x = 6 x + 2 (3) \frac{3}{4}$

Step 1.2.2

Factor $2$ out of $4$ .

$9 x = 6 x + 2 \cdot 3 \frac{3}{2 \cdot 2}$

Step 1.2.3

Cancel the common factor.

$9 x = 6 x + 2 \cdot 3 \frac{3}{2 \cdot 2}$

Step 1.2.4

Rewrite the expression.

$9 x = 6 x + 3 (\frac{3}{2})$

Step 1.3

Combine $3$ and $\frac{3}{2}$ .

$9 x = 6 x + \frac{3 \cdot 3}{2}$

Step 1.4

Multiply $3$ by $3$ .

$9 x = 6 x + \frac{9}{2}$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

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

Step 3