Solve for x (x-6)/4<=2

$\frac{x - 6}{4} \leq 2$

Step 1

Multiply both sides by $4$ .

$\frac{x - 6}{4} \cdot 4 \leq 2 \cdot 4$

Step 2

Simplify.

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{x - 6}{4} \cdot 4 \leq 2 \cdot 4$

Rewrite the expression.

$x - 6 \leq 2 \cdot 4$

Simplify the right side.

Multiply $2$ by $4$ .

$x - 6 \leq 8$

Step 3

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

Add $6$ to both sides of the inequality.

$x \leq 8 + 6$

Add $8$ and $6$ .

$x \leq 14$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x \leq 14$

Interval Notation:

$(- \infty, 14]$