Solve the Inequality for x x-10<6-5x

$x - 10 < 6 - 5 x$

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

Add $5 x$ to both sides of the inequality.

$x - 10 + 5 x < 6$

Add $x$ and $5 x$ .

$6 x - 10 < 6$

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

Add $10$ to both sides of the inequality.

$6 x < 6 + 10$

Add $6$ and $10$ .

$6 x < 16$

Divide each term in $6 x < 16$ by $6$ and simplify.

Divide each term in $6 x < 16$ by $6$ .

$\frac{6 x}{6} < \frac{16}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x}{6} < \frac{16}{6}$

Divide $x$ by $1$ .

$x < \frac{16}{6}$

Simplify the right side.

Cancel the common factor of $16$ and $6$ .

Factor $2$ out of $16$ .

$x < \frac{2 (8)}{6}$

Cancel the common factors.

Factor $2$ out of $6$ .

$x < \frac{2 \cdot 8}{2 \cdot 3}$

Cancel the common factor.

$x < \frac{2 \cdot 8}{2 \cdot 3}$

Rewrite the expression.

$x < \frac{8}{3}$

The result can be shown in multiple forms.

Inequality Form:

$x < \frac{8}{3}$

Interval Notation:

$(- \infty, \frac{8}{3})$