Solve the Inequality for x -26+13x+2>2-13x

$- 26 + 13 x + 2 > 2 - 13 x$

Add $- 26$ and $2$ .

$13 x - 24 > 2 - 13 x$

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

Add $13 x$ to both sides of the inequality.

$13 x - 24 + 13 x > 2$

Add $13 x$ and $13 x$ .

$26 x - 24 > 2$

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

Add $24$ to both sides of the inequality.

$26 x > 2 + 24$

Add $2$ and $24$ .

$26 x > 26$

Divide each term in $26 x > 26$ by $26$ and simplify.

Divide each term in $26 x > 26$ by $26$ .

$\frac{26 x}{26} > \frac{26}{26}$

Simplify the left side.

Cancel the common factor of $26$ .

Cancel the common factor.

$\frac{26 x}{26} > \frac{26}{26}$

Divide $x$ by $1$ .

$x > \frac{26}{26}$

Simplify the right side.

Divide $26$ by $26$ .

$x > 1$

The result can be shown in multiple forms.

Inequality Form:

$x > 1$

Interval Notation:

$(1, \infty)$