Common basic methods for solving equations:

1, using the properties of the equation to solve the equation.

Because equations are equations, equations have all the properties.

The left and right sides of the (1) equation add and subtract the same number at the same time, and the solution of the equation remains unchanged.

(2) The left and right sides of the equation are multiplied by the same number that is not 0 at the same time, and the solution of the equation remains unchanged.

(3) The left and right sides of the equation are divided by the same number that is not 0 at the same time, and the solution of the equation remains unchanged.

2, two-step, three-step operation equation, can be operated according to the nature of the equation, first transform the original equation into one-step solution of the equation, and then find the solution of the equation.

3. Solve the equation according to the relationship between the parts of the addition, subtraction, multiplication and division method.

(1) Solve the equation separately according to the relationship between parts.

(2) Solve the equation according to the relationship of each part in subtraction. In subtraction, it is deceleration = difference+subtraction.

(3) Solve the equation according to the relationship between the parts in multiplication, where one factor = product/another factor.

(4) Solve the equation according to the relationship of each part in division.

Extended data:

The basis of solving equations:

1, move terms and symbols: move some terms in the equation from one side of the equation to the other side of the previous symbol, and add, subtract, multiply and divide, change, multiply and divide;

2. Basic properties of the equation

Natural 1

Adding (or subtracting) the same number or the same algebraic expression on both sides of the equation at the same time, the result is still an equation. Represented by letters: if a=b, c is a number or an algebraic expression. Then: (1) A+C = B+C (2) A-C = B-C.

Nature 2

When both sides of an equation are multiplied or divided by the same number that is not 0, the result is still an equation.

Represented by letters: if a=b, c is a number or an algebraic expression (not 0). So: a×c=b×c or a/c=b/c

Nature 3

If a=b, then b=a (symmetry of the equation).

Nature 4

If a = b and b = c, then a=c (transitivity of the equation).