Question

Solve the following and find the value of x: $9x+5=4\left( x-2 \right)+8$

Answer 1

Hint: Here in this question we have been asked to solve the given algebraic equation $9x+5=4\left( x-2 \right)+8$ . For doing that we will simplify the given expression by performing some simple arithmetic operations like addition and transpose some of the terms from left hand side to right hand side. We will begin by removing the brackets.

Complete step-by-step solution:
Now considering from the question we have been asked to solve the given algebraic equation $9x+5=4\left( x-2 \right)+8$ .
Firstly we will remove the brackets on the right hand side of the given expression by doing that we will have $\Rightarrow 9x+5=4x-8+8$ .
Now we will bring all the terms containing the variable $x$ in the equation to the left hand side by doing that we will have $\Rightarrow 9x-4x=-5-8+8$ .
Now we will further simplify the equation by performing the subtraction operation between the like terms after doing that we will end up having $\Rightarrow 5x=-5$ .
Now we will transform $5$ from left hand side to right hand side and simplify it further after doing that we will have
$\begin{align}
  & \Rightarrow x=\dfrac{-5}{5} \\
 & \Rightarrow x=-1 \\
\end{align}$
Therefore we can conclude that the solution of the given algebraic equation $9x+5=4\left( x-2 \right)+8$ is $x=-1$.

Note: While answering questions of this type we should be very careful during the calculations in between the steps. Someone can make a calculation mistake and consider it as
$\begin{align}
  & 9x+5=4\left( x-2 \right)+8 \\
 & \Rightarrow 5x+5=0 \\
 & \Rightarrow x=1 \\
\end{align}$
which leads them to end up having a wrong answer.
We can also transpose 8 to LHS in the first step and then proceed. This will also lead us to the same answer.