Question

How do you solve \[3x+5=2\left( x+7 \right)\]?

Answer 1

Hint: From the question given, we have been asked to solve \[3x+5=2\left( x+7 \right)\].We can solve the given question by using simple transformations. By using the transformations, we can make the given equation more simplified and then it will be easy to calculate.

Complete step by step answer:
From the question, we have been given that, \[3x+5=2\left( x+7 \right)\]
First of all, simplify the right hand side of the given equation by multiplying the terms.
By simplifying the right hand side of the equation, we get \[\Rightarrow 3x+5=2x+14\]
Now, shift \[2x\] from the right hand side of the equation to the left hand side of the equation.
By shifting \[2x\] from right hand side of the equation to the left hand side of the equation, we get \[\Rightarrow 3x-2x+5=14\]
Now, simplify further to make it easier to simplify.
By simplifying further, we get \[\Rightarrow x+5=14\]
Now, shift \[5\] from the left hand side of the above equation to the right hand side of the above equation.
By shifting \[5\] from left hand side of the above equation to the right hand side of the above equation, we get \[\Rightarrow x=14-5\]
Now, simplify further to get the final answer for the given question.
By simplifying further, we get \[\Rightarrow x=9\]
Hence, the given question is solved by using simple transformations to the given equation.

Note: We should be well known about what transformations should be made to the given equation in the question to make it simplified. Also, we should be very careful while doing the calculation part for the above question. Also, we should be very careful while applying the transformation. Similarly we can solve \[2x+3=3\left( x+5 \right)\Rightarrow 2x+3=3x+15\Rightarrow x=-12\]