Solve the Inequality for x ax+b>c

$a x + b > c$

Step 1

Subtract $b$ from both sides of the inequality.

$a x > c - b$

Step 2

Divide each term in $a x > c - b$ by $a$ and simplify.

Divide each term in $a x > c - b$ by $a$ .

$\frac{a x}{a} > \frac{c}{a} + \frac{- b}{a}$

Simplify the left side.

Cancel the common factor of $a$ .

Cancel the common factor.

$\frac{a x}{a} > \frac{c}{a} + \frac{- b}{a}$

Divide $x$ by $1$ .

$x > \frac{c}{a} + \frac{- b}{a}$

Simplify the right side.

Move the negative in front of the fraction.

$x > \frac{c}{a} - \frac{b}{a}$