Question

How do you solve $3x=-5x+16?$

Answer 1

Hint: As the above equation is in form of linear equation, in order to solving it we have to separate the like terms at one side, then by using BODMAS we will determine the value of unknown quantity $''x''$

Complete step by step solution:
As per data given in the question,
As we have,
$3x=-5x+16$
Now separating the like terms, like shifting all the terms which consists $''x''$ and shifting all the remaining constants in the right side of equal to,
We will get,
$\Rightarrow 3x+5x=16$
Applying the BODMAs in right side,
We will get,
$\Rightarrow 8x=16$
As, the value of $''8x''$ is $16$
So, in order to determine the value of $''x''$ we need to shift 8 which is in multiply with $''x''$ in left side to right side,
As, when $''8''$ is shifted in the right side it will come in division.
So,
$\Rightarrow 8x=16$
$\Rightarrow x=\dfrac{16}{8}$
Hence, value of $''x''$ will be $=\dfrac{16}{8}=2$
Hence, Value of $''x''$ in above given equation will be $2$
i.e. if we put $x=2$ in the equation given in the question, then the value of the left-hand side will be equal to the value of the right-hand side.

Note: While transferring the digits or constants or any variables or numbers from left hand side to right hand side, make sure you are reversing its symbol.
For any mathematical operation, always follow only the BODMAS rule.