Solve the Inequality for x -4x<=10-6x

$- 4 x \leq 10 - 6 x$

Step 1

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

Add $6 x$ to both sides of the inequality.

$- 4 x + 6 x \leq 10$

Add $- 4 x$ and $6 x$ .

$2 x \leq 10$

Step 2

Divide each term in $2 x \leq 10$ by $2$ and simplify.

Divide each term in $2 x \leq 10$ by $2$ .

$\frac{2 x}{2} \leq \frac{10}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} \leq \frac{10}{2}$

Divide $x$ by $1$ .

$x \leq \frac{10}{2}$

Simplify the right side.

Divide $10$ by $2$ .

$x \leq 5$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x \leq 5$

Interval Notation:

$(- \infty, 5]$