Question

Solve:$5x+\frac{7}{2}=\frac{3x}{2}-14$

Answer 1

Solution of linear equation:

$5x+\frac{7}{2}=\frac{3x}{2}-14$

On subtracting $\frac{7}{2}$ both sides of the equation, we get

$$\begin{gathered} \Rightarrow 5x+\frac{7}{2}-\frac{7}{2}=\frac{3x}{2}-14-\frac{7}{2} \\ \Rightarrow 5x=\frac{3x}{2}-\frac{35}{2} \\ \Rightarrow 5x-\frac{3x}{2}=-\frac{35}{2} \\ \Rightarrow \frac{7x}{2}=-\frac{35}{2} \\ \Rightarrow x=-5 \end{gathered}$$

Hence,$x=-5$ is the correct answer.