Exercises 27–40 contain linear equations with constants in denominators. Solve each equation.(x + 3)/6 = 3/8 + (x - 5)/4

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, including isolating the variable, is essential for solving them.

A common denominator is a shared multiple of the denominators of two or more fractions. When solving equations involving fractions, finding a common denominator allows you to combine or eliminate fractions, simplifying the equation. This step is crucial for making the equation easier to solve.

Cross-multiplication is a technique used to eliminate fractions in equations. It involves multiplying the numerator of one fraction by the denominator of the other fraction and setting the two products equal to each other. This method is particularly useful when dealing with equations that have fractions on both sides.