Answer:
Step-by-step explanation:
The main goal in any equation is to get the unknown variable all by itself. In this case that means moving the fraction of 7/8 over to the other side of the equals sign. On the left, the fraction is being subtracted; that means that to move it to the other side, we add it since adding is the opposite of subtracting.
[tex]x-\frac{7}{8}+\frac{7}{8}=4+\frac{7}{8}[/tex]
On the left side, if you have 7/8 and then take that 7/8 away, it's gone completely. What we have now is
[tex]x=4+\frac{7}{8}[/tex]
We need a common denominator so we can add 4 (which is 4/1) to 7/8. 8 is the common denominator.
[tex]x=\frac{4}{1}(\frac{8}{8})+\frac{7}{8}[/tex] and
[tex]x=\frac{32}{8}+\frac{7}{8}[/tex] giving us
