Graph 2.5-1.2x<6.5-3.2x

$2.5 - 1.2 x < 6.5 - 3.2 x$

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

Add $3.2 x$ to both sides of the inequality.

$2.5 - 1.2 x + 3.2 x < 6.5$

Add $- 1.2 x$ and $3.2 x$ .

$2.5 + 2 x < 6.5$

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

Subtract $2.5$ from both sides of the inequality.

$2 x < 6.5 - 2.5$

Subtract $2.5$ from $6.5$ .

$2 x < 4$

Divide each term in $2 x < 4$ by $2$ and simplify.

Divide each term in $2 x < 4$ by $2$ .

$\frac{2 x}{2} < \frac{4}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} < \frac{4}{2}$

Divide $x$ by $1$ .

$x < \frac{4}{2}$

Simplify the right side.

Divide $4$ by $2$ .

$x < 2$