# Solve for x 2/3x-1<4/5x+3 Combine and .
Combine and .
Move all terms containing to the left side of the inequality.
Subtract from both sides of the inequality.
To write as a fraction with a common denominator, multiply by .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Multiply and .
Multiply by .
Multiply and .
Multiply by .
Combine the numerators over the common denominator.
Simplify each term.
Simplify the numerator.
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Multiply by .
Subtract from .
Multiply by .
Move the negative in front of the fraction.
Move all terms not containing to the right side of the inequality.
Add to both sides of the inequality.
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 .
Multiply by .
Multiply both sides of the equation by .
Multiply by .
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Divide by .
The result can be shown in multiple forms.
Inequality Form:
Interval Notation:
Solve for x 2/3x-1<4/5x+3     