Question

How do you write \[3x+\left( 2-4x \right)\] in standard form?

Answer 1

Hint: In the question that has been mentioned above we have been given an equation which has only one variable but are in parts and so cannot be stated as standard form so we need to remove the two parts of the variable one part which will then become in the standard form.

Complete step by step answer:
In the above mentioned question we need to write the standard form of a linear equation which is:
\[ax+b\]
We need to write the given equation in the same format as mentioned above for this we are going to first going to open the bracket and then we are going to add the two terms which have the same variable but are of opposite sign, so by adding those two terms we will get:
\[\begin{align}
  & =3x+2-4x \\
 & =-x+2 \\
\end{align}\]
Now after we have added the two parts which had the same variable but were of different signs which were 3x and -4x we will get an equation. In this equation when the bracket was open there also was a constant so we will write it down with the same sign as it had before that is positive but as there are no other constants present to add or subtract we will compare it with the standard form of the equation and we will be able to see that we have converted the whole equation into its standard form.
So the standard form of the equation given in the question is \[-x+2\].

Note:
For solving this type of question we need to first know what type of equation is it when we have figured out that we will be easily able to convert the given equation in the question into its standard form by comparing the standard equation and the equation given in the question.