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How many solutions can be found for the equation 5x + 3(x − 1) = 10x − x − 5? (4 points)

a
No Solution

b
One

c
Two

d
Infinitely many

Respuesta :

whitneytr12

Answer:

The correct option is b.

Step-by-step explanation:

To find the number of solutions, we need to solve the equation:

[tex] 5x + 3(x - 1) = 10x - x - 5 [/tex]

Let's group all the "x" on the equation.  

[tex] 5x + 3x - 10x + x = 3 - 5 [/tex]              

Now, let's solve for "x".

[tex] -x = -2 [/tex]                

[tex] x = 2 [/tex]    

Therefore, the equation has one solution. The correct option is b.

I hope it helps you!            

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