Question 425703
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Although it is possible to do the problem entirely with
fractions leaving them as they are, as you were doing and as the
other tutor completed in that fashion, it is much easier to clear
of fractions in the beginning.

What you should do first with any equation that contains fractions
is to get rid of them by multiplying through by the LCD

{{{x = expr(1/2)x + expr(1/4)x + expr(1/8)x + expr(1/16)x + 8}}}

The LCD = 16. So next multiply every term by {{{red(16)}}}:
 
{{{red(16)x = red(16)expr(1/2)x + red(16)expr(1/4)x + red(16)expr(1/8)x + red(16)expr(1/16)x + red(16)8}}}

{{{16x = 8x + 4x + 2x + x + 128}}}

{{{16x = 15x + 128}}}

{{{x = 128}}}

Edwin</pre>