Solve the Inequality for x -12x+13>-16x-7

$- 12 x + 13 > - 16 x - 7$

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

Add $16 x$ to both sides of the inequality.

$- 12 x + 13 + 16 x > - 7$

Add $- 12 x$ and $16 x$ .

$4 x + 13 > - 7$

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

Subtract $13$ from both sides of the inequality.

$4 x > - 7 - 13$

Subtract $13$ from $- 7$ .

$4 x > - 20$

Divide each term in $4 x > - 20$ by $4$ and simplify.

Divide each term in $4 x > - 20$ by $4$ .

$\frac{4 x}{4} > \frac{- 20}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} > \frac{- 20}{4}$

Divide $x$ by $1$ .

$x > \frac{- 20}{4}$

Simplify the right side.

Divide $- 20$ by $4$ .

$x > - 5$

The result can be shown in multiple forms.

Inequality Form:

$x > - 5$

Interval Notation:

$(- 5, \infty)$