Pre-Algebra Examples

$- \frac{5}{7} \cdot (5 x - 4) = 3$

Step 1

Simplify $- \frac{5}{7} \cdot (5 x - 4)$ .

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Step 1.1

Apply the distributive property.

$- \frac{5}{7} (5 x) - \frac{5}{7} \cdot - 4 = 3$

Step 1.2

Multiply $- \frac{5}{7} (5 x)$ .

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Step 1.2.1

Multiply $5$ by $- 1$ .

$- 5 (\frac{5}{7}) x - \frac{5}{7} \cdot - 4 = 3$

Step 1.2.2

Combine $- 5$ and $\frac{5}{7}$ .

$\frac{- 5 \cdot 5}{7} x - \frac{5}{7} \cdot - 4 = 3$

Step 1.2.3

Multiply $- 5$ by $5$ .

$\frac{- 25}{7} x - \frac{5}{7} \cdot - 4 = 3$

Step 1.2.4

Combine $\frac{- 25}{7}$ and $x$ .

$\frac{- 25 x}{7} - \frac{5}{7} \cdot - 4 = 3$

Step 1.3

Multiply $- \frac{5}{7} \cdot - 4$ .

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Step 1.3.1

Multiply $- 4$ by $- 1$ .

$\frac{- 25 x}{7} + 4 (\frac{5}{7}) = 3$

Step 1.3.2

Combine $4$ and $\frac{5}{7}$ .

$\frac{- 25 x}{7} + \frac{4 \cdot 5}{7} = 3$

Step 1.3.3

Multiply $4$ by $5$ .

$\frac{- 25 x}{7} + \frac{20}{7} = 3$

Step 1.4

Move the negative in front of the fraction.

$- \frac{25 x}{7} + \frac{20}{7} = 3$

Step 2

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

$x \approx - 0.03999999$

Step 3