Solve the Inequality for x 5(x-2)>5x

$5 (x - 2) > 5 x$

Step 1

Simplify $5 (x - 2)$ .

Start simplifying.

$0 + 0 + 5 (x - 2) > 5 x$

Simplify by adding zeros.

$5 (x - 2) > 5 x$

Apply the distributive property.

$5 x + 5 \cdot - 2 > 5 x$

Multiply $5$ by $- 2$ .

$5 x - 10 > 5 x$

Step 2

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

Subtract $5 x$ from both sides of the inequality.

$5 x - 10 - 5 x > 0$

Combine the opposite terms in $5 x - 10 - 5 x$ .

Subtract $5 x$ from $5 x$ .

$0 - 10 > 0$

Subtract $10$ from $0$ .

$- 10 > 0$

Step 3

Since $- 10 < 0$ , there are no solutions.

No solution