Solve the Inequality for x 6(x-5)>3(x-1)

$6 (x - 5) > 3 (x - 1)$

Simplify $6 (x - 5)$ .

Start simplifying.

$0 + 0 + 6 (x - 5) > 3 (x - 1)$

Simplify by adding zeros.

$6 (x - 5) > 3 (x - 1)$

Apply the distributive property.

$6 x + 6 \cdot - 5 > 3 (x - 1)$

Multiply $6$ by $- 5$ .

$6 x - 30 > 3 (x - 1)$

Simplify $3 (x - 1)$ .

Apply the distributive property.

$6 x - 30 > 3 x + 3 \cdot - 1$

Multiply $3$ by $- 1$ .

$6 x - 30 > 3 x - 3$

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

Subtract $3 x$ from both sides of the inequality.

$6 x - 30 - 3 x > - 3$

Subtract $3 x$ from $6 x$ .

$3 x - 30 > - 3$

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

Add $30$ to both sides of the inequality.

$3 x > - 3 + 30$

Add $- 3$ and $30$ .

$3 x > 27$

Divide each term in $3 x > 27$ by $3$ and simplify.

Divide each term in $3 x > 27$ by $3$ .

$\frac{3 x}{3} > \frac{27}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} > \frac{27}{3}$

Divide $x$ by $1$ .

$x > \frac{27}{3}$

Simplify the right side.

Divide $27$ by $3$ .

$x > 9$

The result can be shown in multiple forms.

Inequality Form:

$x > 9$

Interval Notation:

$(9, \infty)$