Exercises 27–40 contain linear equations with constants in denominators. Solve each equation.3x/5 - (x - 3)/2 = (x + 2)/3

Linear equations are mathematical statements that express the equality of two linear expressions. They typically take the form ax + b = c, where a, b, and c are constants, and x is the variable. Understanding how to manipulate these equations is essential for solving them, as it involves isolating the variable on one side of the equation.

When dealing with fractions in linear equations, finding a common denominator is crucial for simplifying the equation. The common denominator allows you to eliminate the fractions by multiplying each term by this value, making it easier to solve for the variable. This step is particularly important when the equation contains multiple fractions with different denominators.

Isolating the variable is a key step in solving linear equations, where the goal is to get the variable (e.g., x) alone on one side of the equation. This often involves performing inverse operations, such as addition, subtraction, multiplication, or division, to both sides of the equation. Mastery of this concept is essential for finding the solution to the equation.