# Thread: solve for x, includes fractions of x and exponents

1. ## solve for x, includes fractions of x and exponents

Solve for x:

[x/1.06]+[0.8x/1.06^2]+[0.64x/1.06^3]=28370

I know the final answer should be x=12940 but can anyone explain step by step how to get there please?

Thanks
Hannah

2. ## First step

Multiply both sides of the equation by $1.06^3$

3. Originally Posted by capriblonde
Solve for x:

[x/1.06]+[0.8x/1.06^2]+[0.64x/1.06^3]=28370

I know the final answer should be x=12940 but can anyone explain step by step how to get there please?

Thanks
Hannah
As wonderboy1953 said multiply both sides by 1.06^3 then simplify the expressions..
Then you have 1.06²x+1.06*0.8x+0.64x=33789.12392
you can write 1.06 as 53/50
so we get:

(53/50)²x+212x/250+16x/25=33789.12392

2809x/2500+212/250x+16x/25=33789.12392

(2809x+2120x+1600x)/2500=33789.12392

6529x/2500=33789.12392

x=33789.12392*2500/6529

x=12940

Hope this helped!