Question

Solve the equation. Check your solution.

$\mathbf{3}(\mathbf{x}\mathbf{+}\mathbf{1})\mathbf{=}\mathbf{6}$

Short answer

The solution for the equation $3(x+1)=6$is$x=1$ .

Step-by-step solution

– Separate the variable and constants

Write the original equation and separate the variable and constants.

$\begin{array}{c}3\left(x+1\right)=6\\ 3x+3=6\\ 3x+3-3=6-3\\ 3x=3\end{array}$

– Solve for x

Now, divide both sides of the equation by 1.

$\begin{array}{c}\frac{3x}{3}=\frac{3}{3}\\ x=1\end{array}$

Therefore, the solution of the equation is$x=1$.

– Check the solution 

To check the solution, write the original equation and substitute the value of x.

$3(x+1)=6$

Now, substitute$x=1$and check the result.

$\begin{array}{c}3(1+1)=6\\ 3\left(2\right)=6\\ 6=6\end{array}$

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