Solve for x 5x-10>x+6

$5 x - 10 > x + 6$

Step 1

Move all terms containing $x$ to the left side of the inequality.

Subtract $x$ from both sides of the inequality.

$5 x - 10 - x > 6$

Subtract $x$ from $5 x$ .

$4 x - 10 > 6$

Step 2

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

Add $10$ to both sides of the inequality.

$4 x > 6 + 10$

Add $6$ and $10$ .

$4 x > 16$

Step 3

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 4

The result can be shown in multiple forms.

Inequality Form:

$x > 4$

Interval Notation:

$(4, \infty)$