Solve 5x 10

Solve 5x 10 DEFAULT
Hint: The given equation is the linear equation in one variable. We have to find the value of the variable. For that, we have to divide both sides of the equation by the coefficient of the variable and do simplification. The value of the variable will be the desired result.

Complete step-by-step solution:
The given equation is the linear equation in one variable.
Let us know what is the linear equation in one variable.
When you have a variable of a maximum of one order in an equation, then it is known as a linear equation in one variable. The linear equation is usually expressed in the form of \[ax + b = 0\]. Here a and b are two integers and the solution of $x$ can be only one. The value of a and b can never be equal to 0.
For Example, \[5x + 6 = 10\] is an equation that is linear and has only a single variable in it. The only solution to this equation would be $x = \dfrac{4}{5}$.
Now the given equation is $5x - 10 = 10$.
Move the constant part one side,
$ \Rightarrow 5x = 10 + 10$
Add the term on the right side,
$ \Rightarrow 5x = 20$
Divide both side by 5,
$\therefore x = 4$

Hence, the value of $x$ is 4.

Note: When you have to solve an equation that has always only one solution, then the steps given below are followed.
Step 1: Find the LCM. In case any fractions exist, clear them.
Step 2: In this step simplification of both sides of the equation happens.
Step 3: Here, you will be isolating the variable on one side.
Step 4: You will verify the obtained result.
To verify our result we must substitute the answer back in the original equation. If the substituted value satisfies the equation then our answer is correct.

Linear inequalities


Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :


Step by step solution :

Step  1  :

Pulling out like terms :

 1.1     Pull out like factors :

   5x - 10  =   5 • (x - 2) 

Equation at the end of step  1  :

Step  2  :

 2.1    Divide both sides by  5 

Solve Basic Inequality :

 2.2    Add  2  to both sides

 x < 2

Inequality Plot :

 2.3    Inequality plot for

5.000 X - 10.000 < 0

One solution was found :

                   x < 2
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    Solving Rational Equations

     if 5x-10=25 what is the value of x-2 ?

    In order to answer the question, you have to first find the value of x in the first equation. Once you find x, you plug that value into the second equation. When finding the value of x, you have to do the opposite of the current operation applied to the number/variable (in this case just number) to get x by itself. If you do the operation to one side of the equation, you have to do it to the other as well. The opposite of addition is subtraction which means that the opposite of subtraction is addition, and the opposite of multiplication is division which means that the opposite of division is multiplication. For this equation:


    The opposite of subtraction is addition, remember? We need to add 10 to both sides of the equation to keep it balanced.




    The opposite of multiplication is division, so we need to divide both sides by 5.




    Since x=7, substitute it back into the original equation.

    x-2 becomes 7-2.




    10 solve 5x


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