Removing brackets and denominator are two important steps to solve a linear equation with one variable. Next, I will explain these two steps in detail and their role in solving linear equations with one variable.

First, remove the brackets.

When we encounter equations with brackets, it is very important to remove the brackets. Without brackets, the brackets in the equation are removed by multiplication and division, so that the items in brackets are decomposed into their simple components.

For example, we have an equation 5x-(3x-4) = 10. In order to solve this equation more easily, we need to remove the brackets first.

According to the law of multiplication and distribution, we can get: 5x-3x+4 = 10.

By removing the brackets, we can simplify the terms of the equation, thus making it easier to solve the equation.

Second, the denominator

When solving a linear equation with one variable, we often encounter items with denominator. Denominator is to convert these terms with denominator into terms without denominator, thus making the equation easier to solve.

For example, we have an equation 3/2x+4 = 7/2x-2. In this equation, we see that two terms contain fractions. In order to solve this equation more easily, we need to remove the denominator first.

We can multiply both sides of the equation by 2, so that the denominator can be removed. According to the properties of the equation, we can get: 3x+8 = 7x-4.

By removing the denominator, we can convert the term with denominator into the term without denominator, thus making the equation easier to solve.

Third, summary.

Removing brackets and denominator are two very important steps to solve a linear equation with one variable. By removing the brackets, we can decompose the items in brackets into their simple components; By removing the denominator, we can transform an item containing the denominator into an item without the denominator. These two steps can help us simplify the equation and find its solution more easily.

When solving practical problems, we need to choose whether to remove brackets or denominators according to specific conditions. If the equation contains items with brackets or denominator, then we need to consider using the method of removing brackets or denominator to simplify the equation.