8. If AB= x+4 and CD= 2x - 8, what is the value of x?
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8. If AB= x+4 and CD= 2x - 8, what is the value of x?
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[tex]\rm\huge\pink{Answer}[/tex]
8. If AB = x + 4 and CD = 2x – 8, what is the value of x?
[tex]x=12[/tex]
[tex]\rm\huge\pink{Solution:}[/tex]
[tex]x+4=2x-8[/tex]
Subtract 4 from both sides.
[tex]x+4-4=2x-8-4[/tex]
Simplify.
[tex]x=2x-12[/tex]
Subtract 2x from both sides.
[tex]x-2x=2x-12-2x[/tex]
Simplify.
[tex]-x=-12[/tex]
Divide both sides by –1.
[tex]\frac{-x}{-1}=\frac{-12}{-1}[/tex]
Simplify.
[tex]x=12[/tex]