Solve for x 5(x-3)>5

$5 (x - 3) > 5$

Step 1

Divide each term in $5 (x - 3) > 5$ by $5$ and simplify.

Divide each term in $5 (x - 3) > 5$ by $5$ .

$\frac{5 (x - 3)}{5} > \frac{5}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 (x - 3)}{5} > \frac{5}{5}$

Divide $x - 3$ by $1$ .

$x - 3 > \frac{5}{5}$

Simplify the right side.

Divide $5$ by $5$ .

$x - 3 > 1$

Step 2

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

Add $3$ to both sides of the inequality.

$x > 1 + 3$

Add $1$ and $3$ .

$x > 4$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x > 4$

Interval Notation:

$(4, \infty)$