Respuesta :

tolaosunrinde

Answer: x = 7

Step-by-step explanation:

From the question 10/4 =8 + x/ x -1,

Step 1: cross multiply

10(x-1) = 4(8+x)

Step 2: open the bracket

10x - 10 = 32 + 4x

Step 3: combine like terms

10x - 4x = 32 + 10

6x= 42

Step 4: Divide both sides by 6

x = 42/6

x = 7

Check:

Substitute x=7 into the equation

10/4 = 8+7/7-1

10/4= 15/6

2.5 = 2.5

I hope you understand, please mark as brainliest

devishri1977

Answer:

x = 7

Step-by-step explanation:

[tex]\frac{10}{4}=\frac{x+8}{x-1}\\\\10*(x-1)=(x+8)*4\\10*x-10*1=x*4+8*4\\10x-10=4x+32\\\\10x-4x=32+10\\\\6x=42\\x=42/6\\\\x=7[/tex]

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