Answer

Verified

409.2k+ views

**Hint:**From the question given, we have been asked to solve \[3x+1=5x-10\]. We can solve the given equation from the question by using some simple transformations. First, we will shift the constants to the LHS and then the terms with the variable x to the RHS. We will then get the equation simplified and then we can solve it easily.

**Complete step-by-step solution:**

From the question given, we have been given that,

\[3x+1=5x-10\]

As we have already discussed earlier, we have to make some simple transformations to the above equation to get it simplified.

Shift \[10\] from the right hand side of the equation to the left hand side of the equation. By shifting \[10\] from right hand side of the equation to the left hand side of the equation, we get

\[\Rightarrow 3x+1+10=5x\]

Now, simplify the above equation further. By simplifying the above equation further, we get

\[\Rightarrow 3x+11=5x\]

Now, shift 3x from the left hand side of the equation to the right hand side of the equation. By shifting 3x from left hand side of the equation to the right hand side of the equation, we get

\[\Rightarrow 11=5x-3x\]

In the right hand side of the above equation, we can clearly see that there is a variable common in both the terms.

So, we know that if the variable is common in the terms, we can simply subtract the constants.

By doing this, we get

\[\Rightarrow 11=2x\]

Shift \[2\] from the right hand side of the equation to the left hand side of the equation. By shifting \[2\] from right hand side of the equation to the left hand side of the equation, we get

\[\Rightarrow x=\dfrac{11}{2}\]

Therefore, the given equation is solved.

**Note:**Students should be well aware of the transformations that have to be made to the given question to get the given question simplified very easily. Also, students should be very careful while applying the transformation to the given equation for example in transforming the equation by sending LHS to RHS in this case \[\Rightarrow 3x+1+10=5x\] \[\Rightarrow 11=5x-3x\] this is correct we should not take it as \[\Rightarrow 11=5x+3x\] it will give us wrong answer and also be very careful while doing the calculation part.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Mark and label the given geoinformation on the outline class 11 social science CBSE

When people say No pun intended what does that mea class 8 english CBSE

Name the states which share their boundary with Indias class 9 social science CBSE

Give an account of the Northern Plains of India class 9 social science CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE

How do you graph the function fx 4x class 9 maths CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

What organs are located on the left side of your body class 11 biology CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Difference Between Plant Cell and Animal Cell