Solve for x 4x-7>17

$4 x - 7 > 17$

Step 1

Move all terms not containing $x$ to the right side of the inequality.

Add $7$ to both sides of the inequality.

$4 x > 17 + 7$

Add $17$ and $7$ .

$4 x > 24$

Step 2

Divide each term in $4 x > 24$ by $4$ and simplify.

Divide each term in $4 x > 24$ by $4$ .

$\frac{4 x}{4} > \frac{24}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} > \frac{24}{4}$

Divide $x$ by $1$ .

$x > \frac{24}{4}$

Simplify the right side.

Divide $24$ by $4$ .

$x > 6$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x > 6$

Interval Notation:

$(6, \infty)$