Answer:
A) [tex]5x-1=-6[/tex]
B) [tex]x=-1[/tex]
Step-by-step explanation:
On the left, we have five (positive) Xs and one -1. So, we can represent the left with the expression [tex]5x-1[/tex].
On the right, we have six -1s. So, we can represent the right with the expression [tex]-6[/tex].
A)
Since the balance is balanced, we know that the two expressions are equal to each other. So, we can write the equation:
[tex]5x-1=-6[/tex]
B)
Now, we can solve the equation for x. Add 1 to both sides:
[tex](5x-1)+1=(-6)+1[/tex]
The left will cancel. Add on the right:
[tex]5x=-5[/tex]
Finally, divide both sides by 5:
[tex](5x)/5=(-5)/5[/tex]
The left side will cancel. So, the value of x is:
[tex]x=-1[/tex]
