Question

Solve the following equation:

$5(5x-4)-8(x-3)=10(x+6)$

Answer 1

Solving the equation

We have, $5(5x-4)-8(x-3)=10(x+6)$

$$\begin{gathered} \Rightarrow 25x-20-8x+24=10x+60 \\ \Rightarrow 25x-8x-10x=60+20-24 \\ \Rightarrow 7x=-56 \\ \Rightarrow x=\frac{-56}{7} \\ \Rightarrow x=-8 \end{gathered}$$

Hence, $x=-8$ is the solution of the given equation.