Question

Solve for x in 2(2-x)=4(-2+x)

Answer 1

Given the equation:

`2(2-x)=4(-2+x)`

First, we open the brackets

`4-2x=-8+4x`

Next, we collect like terms. (Bring terms containing x to the left-hand side)

`\begin{gathered} -2x-4x=-8-4 \\ -6x=-12 \end{gathered}`

Finally, we divide both sides by -6 (negative 6) to obtain x.

`\begin{gathered} (-6x)/(-6)=(-12)/(-6) \\ x=2 \end{gathered}`

The value of x is 2.