# Solve for x -2/5x-9<9/10

Simplify each term.
Combine and .
Move to the left of .
Move all terms not containing to the right side of the inequality.
Add to both sides of the inequality.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .
Multiply each term in by
Multiply each term in by . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.
Multiply .
Multiply by .
Multiply by .
Simplify .
Multiply .
Combine and .
Multiply by .
Move the negative in front of the fraction.
Multiply both sides of the equation by .
Simplify .
Cancel the common factor of .
Move the leading negative in into the numerator.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Move the negative in front of the fraction.
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Multiply .
Multiply and .
Multiply by .
The result can be shown in multiple forms.
Inequality Form:
Interval Notation:
Solve for x -2/5x-9<9/10