Answer:
The number x is -3
Therefore x=-3
Step-by-step explanation:
Given problem is "Three added to eight times a number is the same as three times the value of two times the number -1"
Let x be the number
It can be written as
[tex]3+8\times x=3(2\times x-1)[/tex]
[tex]3+8x=3(2x-1)[/tex] ( applying the distributive property )
[tex]3+8x=3(2x)+3(-1)[/tex]
[tex]3+8x=6x-3[/tex]
subtracting (6x-3) on both sides we get
[tex]3+8x-(6x-3)=6x-3-(6x-3)[/tex]
[tex]3+8x-6x+3=6x-3-6x+3[/tex]
[tex]6+2x=0[/tex] ( ading the like terms )
[tex]2x=-6[/tex]
[tex]x=-\frac{6}{2}[/tex]
Therefore x=-3
The number x is -3
