Pre-Algebra Examples

$\frac{3 x - 19}{x - 4} = \frac{7 x - 21}{28}$

Step 1

Cancel the common factor of $7 x - 21$ and $28$ .

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Step 1.1

Factor $7$ out of $7 x$ .

$\frac{3 x - 19}{x - 4} = \frac{7 (x) - 21}{28}$

Step 1.2

Factor $7$ out of $- 21$ .

$\frac{3 x - 19}{x - 4} = \frac{7 x + 7 \cdot - 3}{28}$

Step 1.3

Factor $7$ out of $7 x + 7 \cdot - 3$ .

$\frac{3 x - 19}{x - 4} = \frac{7 (x - 3)}{28}$

Step 1.4

Cancel the common factors.

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Step 1.4.1

Factor $7$ out of $28$ .

$\frac{3 x - 19}{x - 4} = \frac{7 (x - 3)}{7 (4)}$

Step 1.4.2

Cancel the common factor.

$\frac{3 x - 19}{x - 4} = \frac{7 (x - 3)}{7 \cdot 4}$

Step 1.4.3

Rewrite the expression.

$\frac{3 x - 19}{x - 4} = \frac{x - 3}{4}$

Step 2

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

$x = 8, 11$

Step 3