Answer:
12
Step-by-step explanation:
UV + VW = UW
[tex]5+(4x-1)=5x+2[/tex]
Remove brackets:
[tex]5+4x-1=5x+2[/tex]
Solve [tex]5-1=4:[/tex]
[tex]4x+4=5x+2[/tex]
Subtract 4 from both sides:
[tex]4x+4-4=5x+2-4[/tex]
[tex]4x=5x-2[/tex]
Subtract 5x from both sides:
[tex]4x-5x=5x-2-5x[/tex]
[tex]-x=-2[/tex]
Divide both sides by -1:
[tex]\frac{-x}{-1}=\frac{-2}{-1}[/tex]
[tex]x=2[/tex]
[tex]UW=5x+2=5(2)+2=10+2=12[/tex]
