Mathematics

Mathematics

Problem

## Solving Equations Directions: Solve the equations for the lone variable. x+55−2x+34=1\frac{x+5}{5} - \frac{2x+3}{4} = 1
Intuitive explanation

This is a linear equation with fractions—the key is to clear the denominators first by finding a common denominator, then collect like terms. Multiply every term by the LCD (20 here) to convert it into a simpler equation without fractions, then isolate xx using inverse operations. Once you've simplified, you'll have a straightforward equation to solve.

Intuitive explanation

This is a linear equation with fractions—the key is to clear the denominators first by finding a common denominator, then collect like terms. Multiply every term by the LCD (20 here) to convert it into a simpler equation without fractions, then isolate xx using inverse operations. Once you've simplified, you'll have a straightforward equation to solve.

Browse the problem library