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Solve the following equations and verify the answers:
$3x-2\left( 1-x \right)=8$

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Last updated date: 13th Jul 2024
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Answer
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Hint: According to the given question, we are asked to find the value of the unknown variable in the given equation and then we need to verify that the value attained or answer we found is correct or not by substituting the value of the attained variable back in the equation.

Complete step by step answer:
According to the question, we need to solve the equation and find the value of the unknown. In order to do so we need to simplify the given equation such that the unknown variable is on one side and constant on the other side.
Now, taking part (a) we have the equation $3x-2\left( 1-x \right)=8$, now solving this for x we get,
$\begin{align}
  & 3x-2\left( 1-x \right)=8 \\
 & \Rightarrow 3x-2+2x=8 \\
 & \Rightarrow 5x=10 \\
 & \Rightarrow x=2 \\
\end{align}$
Now, we got the value of x as 2 and in order to verify we will substitute the value of x in the left-hand side and equate it to the right-hand side.
$\begin{align}
  & 3\times 2-2\left( 1-2 \right) \\
 & \Rightarrow 6+2=8 \\
 & \\
\end{align}$
Therefore, the value is the same. Hence, the value of x is 2.

Note: Now, in such a question the main thing we need to keep in mind is that we need to show that the answer or value of the unknown found is correct or not which we mostly forget and leave as it is. Also, we need to be careful while operating and make use of the BODMAS rule in order to get the correct answer.