Solve for x. Show each step of the solution.
0.75 (x + 16) = 3 – 0.5 (x-8)
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Answer:
x= 18.29
Step-by-step explanation:
- distribute then simplify- .75x + 12 = 2.5x - 20
- subtract .75x from each side- 12 = 1.75x - 20
- add 20 on each side- 32 = 1.75x
- divide each side by 1.75x- x= 18.29
not 100% sire if thats correct
[tex]0.75\left(x+16\right)=3-0.5\left(x-8\right)[/tex]
[tex]0.75\left(x+16\right)\cdot \:100=3\cdot \:100-0.5\left(x-8\right)\cdot \:100[/tex]
[tex]75\left(x+16\right)=300-50\left(x-8\right)[/tex]
[tex]75x+1200=-50x+700[/tex]
[tex]5x+1200-1200=-50x+700-1200[/tex]
[tex]75x=-50x-500[/tex]
[tex]75x+50x=-50x-500+50x[/tex]
[tex]125x=-500[/tex]
[tex]\frac{125x}{125}=\frac{-500}{125}[/tex]
[tex]x=-4[/tex]