Answer:
The equation has only one solution
Step-by-step explanation:
we have
[tex]x-10(x-2)=13-7x[/tex]
Solve for x
Distribute in the left side
Remember that
[tex](-1)(-1)=+1[/tex]
[tex]x-10x+20=13-7x[/tex]
Combine like terms in the left side
[tex]-9x+20=13-7x[/tex]
Adds 9x both sides
[tex]20=13-7x+9x[/tex]
[tex]20=13+2x[/tex]
Subtract 13 both sides
[tex]20-13=2x[/tex]
[tex]7=2x[/tex]
Divide by 2 both sides
[tex]3.5=x[/tex]
Rewrite
[tex]x=3.5[/tex]
Therefore
The equation has only one solution
