Examples are as follows:
Solve the equation 5x+2 = 7x-8.
Analysis: In order to make the equation form ax=b, we can move the unknown term to the left of the equation, the known term to the right of the equation, or move the unknown term to the right of the equation and the known term to the left of the equation, so according to the law of shifting terms, we can get the following two solutions.
Solution 1: Move the term to get 5x-7x=-8-2, merge the similar terms to get -2x=- 10, and the coefficient reaches 1 to get x=5.
Solution 2: Shift the terms to get 2+8=7x-5x, combine similar terms to get 10=2x, and the coefficient is 1, and get x=5.
Extended data
Precautions for moving items:
Move an item, the logo should be changed, and the fixed item should not be changed. When moving an item, first write the original fixed item on the left and right sides, and then write the moved item. The basis of shifting term is to add (or subtract) the same algebraic expression on both sides of the equation according to the basic properties of the equation.
The purpose of shifting terms is to get the unary linear equation in the form of AX = B. The terms on the same side of the equal sign exchange positions with each other, and the signs of these terms remain unchanged.
Baidu Encyclopedia-Shift Entry