Question

Solve the following equations

$4(2-x)=9$

Answer 1

Solving the equation

The given equation is $4(2-x)=9$

$$\begin{gathered} \Rightarrow 4\left(2\right)+4(-x)=9 \\ \Rightarrow 8-4x=9 \end{gathered}$$

Subtracting $8$ from both the sides of the equation, we get

$$\begin{gathered} \Rightarrow 8-4x-8=9-8 \\ \Rightarrow -4x=1 \end{gathered}$$

On dividing both sides of the equation by$-4$

$$\begin{gathered} \Rightarrow \frac{-4x}{-4}=\frac{1}{-4} \\ \Rightarrow x=\frac{1}{-4} \\ \Rightarrow x=\frac{-1}{4} \end{gathered}$$

Hence, the solution of the equation is $x=\frac{-1}{4}$