Solution: 5x÷5= 1.5÷5

x=0.3

Check:

Substitute x=0.3 into the left side of the equation.

The left side of the equation =5×0.3

= 1.5

= Right side of the equation

Left side of equation = right side of equation

So x=0.3 is the solution of the equation.

Extended data:

First, check:

After solving the equation, it needs to be verified. Verification is to substitute the unknown value into the original equation to see if both sides of the equation are equal. If they are equal, then the value obtained is the solution of the equation.

Our basic idea of solving a linear equation with one variable is to transform the original equation into the form of ax=b(a≠0), and its solution can be divided into two major steps: ① transforming it into the form of ax=b(a≠0); (2) is to solve the equation ax = b.

Second, the general solution:

1, denominator: both sides of the equation are multiplied by the least common multiple of each denominator.

2. Brackets: Generally, brackets are removed first, then brackets are removed, and finally braces are removed. But sometimes the order can be determined according to the situation, which makes the calculation simple. According to the law of multiplicative distribution.

3. Move the term: move the term containing the unknown to the other side of the equation, and don't forget to change the sign when moving other terms to the other side of the equation. (Generally, it is like this: for example, 5x-4x = 8； is obtained from 5x=4x+8; Bring the unknown together!

4. Merge similar terms: transform the original equation into ax=b(a≠0).

5, coefficient is one: both sides of the equation are divided by the unknown coefficient at the same time.

6. Find the solution of the equation.