Solve the Inequality for x 2(x-5)>2x+3

$2 (x - 5) > 2 x + 3$

Simplify $2 (x - 5)$ .

Rewrite.

$0 + 0 + 2 (x - 5) > 2 x + 3$

Simplify by adding zeros.

$2 (x - 5) > 2 x + 3$

Apply the distributive property.

$2 x + 2 \cdot - 5 > 2 x + 3$

Multiply $2$ by $- 5$ .

$2 x - 10 > 2 x + 3$

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

Subtract $2 x$ from both sides of the inequality.

$2 x - 10 - 2 x > 3$

Combine the opposite terms in $2 x - 10 - 2 x$ .

Subtract $2 x$ from $2 x$ .

$0 - 10 > 3$

Subtract $10$ from $0$ .

$- 10 > 3$

Since $- 10 < 3$ , there are no solutions.

No solution