Pre-Algebra Examples

$\frac{1}{4} x + \frac{1}{3} = - 5 (\frac{5}{6} x - 2)$

Step 1

Combine $\frac{1}{4}$ and $x$ .

$\frac{x}{4} + \frac{1}{3} = - 5 (\frac{5}{6} x - 2)$

Step 2

Simplify $- 5 (\frac{5}{6} x - 2)$ .

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Step 2.1

Combine $\frac{5}{6}$ and $x$ .

$\frac{x}{4} + \frac{1}{3} = - 5 (\frac{5 x}{6} - 2)$

Step 2.2

Apply the distributive property.

$\frac{x}{4} + \frac{1}{3} = - 5 \frac{5 x}{6} - 5 \cdot - 2$

Step 2.3

Multiply $- 5 \frac{5 x}{6}$ .

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Step 2.3.1

Combine $- 5$ and $\frac{5 x}{6}$ .

$\frac{x}{4} + \frac{1}{3} = \frac{- 5 (5 x)}{6} - 5 \cdot - 2$

Step 2.3.2

Multiply $5$ by $- 5$ .

$\frac{x}{4} + \frac{1}{3} = \frac{- 25 x}{6} - 5 \cdot - 2$

Step 2.4

Multiply $- 5$ by $- 2$ .

$\frac{x}{4} + \frac{1}{3} = \frac{- 25 x}{6} + 10$

Step 2.5

Move the negative in front of the fraction.

$\frac{x}{4} + \frac{1}{3} = - \frac{25 x}{6} + 10$

Step 3

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

$x \approx 2.18867924$

Step 4