Answer:
The provided equation has infinite solutions.
Step-by-step explanation:
Consider the provided equation.
[tex]-4x-7+10x=-7+6x[/tex]
The above equation can be written as:
[tex]-4x+10x-7=-7+6x[/tex]
Add the like terms.
[tex]6x-7=-7+6x[/tex]
This can be written as:
[tex]6x-7=6x-7[/tex]
Here, we can see that left side is same as the right side.
For any value x the left and right side will be same.
Check:
Substitute x=1
[tex]6(1)-7=6(1)-7[/tex]
[tex]6-7=6-7[/tex]
[tex]-1=-1[/tex]
Substitute x=2
[tex]6(2)-7=6(2)-7[/tex]
[tex]12-7=12-7[/tex]
[tex]5=5[/tex]
Hence, the provided equation has infinite solutions.
