Question 115635
{{{28-2(10x-0.365)=7x+0.035}}} Start with the given equation




{{{28-20x+0.73=7x+0.035}}} Distribute



{{{1000(28-20x+0.73)=1000(7x+0.035)}}} Multiply both sides by 1000 to move the decimal on each number 3 times. This will make every number a whole number.


{{{28000-20000x+730=7000x+35}}} Distribute and multiply




{{{-20000x+28730=7000x+35}}} Combine like terms on the left side



{{{-20000x=7000x+35-28730}}}Subtract 28730 from both sides



{{{-20000x-7000x=35-28730}}} Subtract 7000x from both sides



{{{-27000x=35-28730}}} Combine like terms on the left side



{{{-27000x=-28695}}} Combine like terms on the right side



{{{x=(-28695)/(-27000)}}} Divide both sides by -27000 to isolate x




{{{x=1913/1800}}} Reduce


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Answer:

So our answer is {{{x=1913/1800}}}  (which is approximately {{{x=1.06277777777778}}} in decimal form)