Question

How do you solve $5+8x=37$?

Answer 1

Hint: We have a linear equation in one variable. We will rearrange the equation so that we have the constant terms on one side of the equation and the variable term on the other side. Then we will simplify the equation by doing the operations in the equation. After that we will solve the simplified equation to find the value of the variable.

Complete answer:
The given equation is $5+8x=37$. This is a linear equation in one variable. It is a linear equation because all the terms in the equation have the highest power as 1. Now, we will rearrange the given equation in such a manner that we will have the constant terms on one side of the equation and the variable term on the other side of the equation. We get the following equation,
$8x=37-5$
Simplifying this equation by carrying out the subtraction on the right hand side, we get the following,
$8x=32$
Now for solving this equation for the variable $x$, we will divide both sides of the above equation by 8. We get the following,
$\begin{align}
  & \dfrac{8x}{8}=\dfrac{32}{8} \\
 & \therefore x=4 \\
\end{align}$
Hence, the solution of the given equation is $x=4$.

Note: We should be careful with the signs of the terms while shifting them from one side of the equation to the other. If the highest power of any term in the equation is 2, then the equation is a quadratic equation and it has two solutions. Similarly, if the degree of an equation is 3, then it is called the cubic equation and it has three solutions.