Please give an example to illustrate the standard format for the solution of linear equation of one variable

Please give an example to illustrate the standard format for the solution of linear equation of one variable

For example, to solve the equation: 5 (x-1) = 3 (x-3) - 2 (X-2)
5 (x-1) = 3 (x-3) - 2 (X-2)
De denominator: 6 (x-1) = 10 (x-3) - 15 (X-2)
Remove brackets: 6x-6 = 10x-30-15x + 30
Transfer: 6x-10x + 15x = - 30 + 30 + 6
Merge congeners: 11x = 6
The coefficient is 1: x = 6 / 11, please adopt it in time! The above is the standard format of grade one of junior high school, so it is guaranteed to be correct!

Finding all solutions of linear equation with one variable

These two basic properties are used to solve the linear equation of one variable
The first property of the equation is that if the same number or the same formula containing letters are added (or subtracted) on both sides of the equation, the result is still the equation
The second property of the equation: if both sides of the equation multiply by the same number (or divide by the same number that is not zero), the result is still the equation
Changing the sign from one side to the other is called term shifting
The process of solving an equation is called solving an equation

Attention is a problem!

Equation is the most important content in middle school mathematics. The simplest equation is one variable linear equation, which is the basis for further learning algebraic equation. Many equations can be solved by transforming them into one variable linear equation. This lecture mainly introduces some basic methods and skills for solving one variable linear equation

The solution of one variable equation of first degree

1 transfer
2 normalization coefficient