Question

Solve the equation. Check your solution.$\mathbf{3}\mathbf{x}\mathbf{+}\mathbf{2}\mathbf{x}\mathbf{=}\mathbf{25}$

Short answer

The solution for the equation $3x+2x=25$is$x=5$ .

Step-by-step solution

– Separate the variable and constants

Write the original equation and separate the variable and constants.

$\begin{array}{c}3x+2x=25\\ 5x=25\end{array}$

– Solve for x

Now, divide both sides of the equation by 5.

$\begin{array}{c}\frac{5x}{5}=\frac{25}{5}\\ x=5\end{array}$

Therefore, the solution of the equation is$x=5$ .

– Check the solution 

To check the solution, write the original equation and substitute the value ofx.$3x+2x=25$

Now, substitute $x=5$and check the result.

$\begin{array}{c}3\left(5\right)+2\left(5\right)=25\\ 15+10=25\\ 25=25\end{array}$

As the left-hand side is equal to right hand side, this signifies that the solution is correct.