Solve the Inequality for x (x-7)>2x-3

$(x - 7) > 2 x - 3$

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

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

$x - 7 - 2 x > - 3$

Subtract $2 x$ from $x$ .

$- x - 7 > - 3$

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

Add $7$ to both sides of the inequality.

$- x > - 3 + 7$

Add $- 3$ and $7$ .

$- x > 4$

Divide each term in $- x > 4$ by $- 1$ and simplify.

Divide each term in $- x > 4$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- x}{- 1} < \frac{4}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{x}{1} < \frac{4}{- 1}$

Divide $x$ by $1$ .

$x < \frac{4}{- 1}$

Simplify the right side.

Divide $4$ by $- 1$ .

$x < - 4$

The result can be shown in multiple forms.

Inequality Form:

$x < - 4$

Interval Notation:

$(- \infty, - 4)$

Solve the Inequality for x (x-7)>2x-3

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