Decimals are no fun. It might be a good idea to get rid of the decimals as a first step.
Notice that the smallest decimal value is in the THOUSANDTHS PLACE. So if we multiply both sides by 1000, that should do the trick.
1000( 0.007x + 0.03 ) = 1000( 0.1 )
With each term, we'll move the decimal 3 places.
That's what it means to multiply by 1000.
7x + 30 = 100
From that point the problem becomes quite a bit easier.
Subtract 30,
7x = 70
Divide by 7 as a final step,
x = 10
Hope that helps :)
14500/(1-0.11*150/360)=15196.51