Question

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

Answer 1

Step 1:

Write out the expression

$\frac{2}{4-x}=\frac{10}{4+x},x\ne4,x\ne-4$

Step 2:

We cross-multiply, to get

$2(4+x)=10(4-x)$

Step 3:

we expand the expression

$8+2x=40-10x$

Step 4

We collect like terms

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