Show that 2/4-x= 10/4+x is equivalent to 12x=22 for all values of x not equal to 4 or -4

Question

asked May 21, 2023 124k views

1 Answer

Dxiv · Answer 1 · 2023-05-27T16:14:51+0000

Step 1:

Write out the expression

$(2)/(4-x)=(10)/(4+x),x\\e4,x\\e-4$

Step 2:

We cross-multiply, to get

Step 3:

we expand the expression

Step 4

We collect like terms

$\begin{gathered} 2x+10x=40-8 \\ \text{ Hence, we have} \\ 12x=32 \end{gathered}$
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