Solve for x 9+2x<7+2(x-3)

$9 + 2 x < 7 + 2 (x - 3)$

Step 1

Simplify $7 + 2 (x - 3)$ .

Simplify each term.

Apply the distributive property.

$9 + 2 x < 7 + 2 x + 2 \cdot - 3$

Multiply $2$ by $- 3$ .

$9 + 2 x < 7 + 2 x - 6$

Subtract $6$ from $7$ .

$9 + 2 x < 2 x + 1$

Step 2

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

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

$9 + 2 x - 2 x < 1$

Combine the opposite terms in $9 + 2 x - 2 x$ .

Subtract $2 x$ from $2 x$ .

$9 + 0 < 1$

Add $9$ and $0$ .

$9 < 1$

Step 3

Since $9 > 1$ , there are no solutions.

No solution