Question

What is the value of x that satisfies the equation í (& - 2(1 - 2) = $ (+2)

Answer 1

$\frac{2}{3}(\frac{x}{2}-2)=\frac{4}{3}(\frac{x}{3}+2)$

Let's start clearing the value of x

$\begin{gathered} 2(\frac{x}{2}-2)=3\cdot\frac{4}{3}(\frac{x}{3}+2) \\ 2(\frac{x}{2}-2)=4(\frac{x}{3}+2) \end{gathered}$

Now we are going to multiply to open the parenthesis

$\begin{gathered} 2\cdot\frac{x}{2}-2\cdot2=4\cdot\frac{x}{3}+4\cdot2 \\ x-4=\frac{4x}{3}+8 \\ \frac{4x}{3}-x=-4-8 \\ \frac{x}{3}=-12 \\ x=-12\cdot3 \\ x=-36 \end{gathered}$