Solve for x 4x-4>12

$4 x - 4 > 12$

Step 1

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

Add $4$ to both sides of the inequality.

$4 x > 12 + 4$

Add $12$ and $4$ .

$4 x > 16$

Step 2

Divide each term in $4 x > 16$ by $4$ and simplify.

Divide each term in $4 x > 16$ by $4$ .

$\frac{4 x}{4} > \frac{16}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} > \frac{16}{4}$

Divide $x$ by $1$ .

$x > \frac{16}{4}$

Simplify the right side.

Divide $16$ by $4$ .

$x > 4$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x > 4$

Interval Notation:

$(4, \infty)$