Question

How do you solve $3x+10=-2x$?

Answer 1

Hint: The given equation is a linear equation in one variable. By solving the given equation we have to find the value of an unknown variable i.e. x. To solve the given equation first we will shift all the terms with variables at one side and keep the constant terms at the other side of the equal sign. Then by simplifying the obtained equation we will get the desired answer.

Complete step by step answer:
We have been given an equation $3x+10=-2x$
We have to solve the given equation and find the value of the unknown variable.
Now, to solve the given equation we will use the basic algebraic operations and first we shift the terms with variables at LHS and shift the constant terms at the RHS. Then we will get
$\Rightarrow 3x+2x=-10$
Now, simplifying the above obtained equation we will get
$\Rightarrow 5x=-10$
Now, to find the value of x we will divide the whole equation by 5. Then we will get
$\begin{align}
  & \Rightarrow \dfrac{5x}{5}=-\dfrac{10}{5} \\
 & \Rightarrow x=-2 \\
\end{align}$

So, on solving the equation $3x+10=-2x$ we get the value $x=-2$.

Note: The linear equation in one variable is an equation having only one variable and the variable has only one solution. In this type of question avoid any calculation mistake and be careful while shifting the terms. The sign gets reversed when we shift the terms from LHS to RHS or vice-versa. We can also verify the answer by putting the obtained value in the given equation.