Solve the Inequality for x x+10+4x<=60

$x + 10 + 4 x \leq 60$

Add $x$ and $4 x$ .

$5 x + 10 \leq 60$

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

Subtract $10$ from both sides of the inequality.

$5 x \leq 60 - 10$

Subtract $10$ from $60$ .

$5 x \leq 50$

Divide each term in $5 x \leq 50$ by $5$ and simplify.

Divide each term in $5 x \leq 50$ by $5$ .

$\frac{5 x}{5} \leq \frac{50}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} \leq \frac{50}{5}$

Divide $x$ by $1$ .

$x \leq \frac{50}{5}$

Simplify the right side.

Divide $50$ by $5$ .

$x \leq 10$

The result can be shown in multiple forms.

Inequality Form:

$x \leq 10$

Interval Notation:

$(- \infty, 10]$