Simplify (7x-4+x)/(2x-1)

$\frac{7 x - 4 + x}{2 x - 1}$

Step 1

Simplify the numerator.

Add $7 x$ and $x$ .

$\frac{8 x - 4}{2 x - 1}$

Factor $4$ out of $8 x - 4$ .

Factor $4$ out of $8 x$ .

$\frac{4 (2 x) - 4}{2 x - 1}$

Factor $4$ out of $- 4$ .

$\frac{4 (2 x) + 4 (- 1)}{2 x - 1}$

Factor $4$ out of $4 (2 x) + 4 (- 1)$ .

$\frac{4 (2 x - 1)}{2 x - 1}$

$\frac{4 (2 x - 1)}{2 x - 1}$

$\frac{4 (2 x - 1)}{2 x - 1}$

Step 2

Cancel the common factor of $2 x - 1$ .

Cancel the common factor.

$\frac{4 (2 x - 1)}{2 x - 1}$

Divide $4$ by $1$ .

$4$

$4$

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