Answer:
See explanation
Step-by-step explanation:
Sherry has the equation [tex]x+ (-8) = 3x+6[/tex]
1 step: Add 1 negative x-tile to both sides and create zero pairs:
[tex]x+(-8)+(-x)=3x+6+(-x)\\ \\-8=2x+6[/tex]
2 step: Add 8 positive unit tiles to both sides and create zero pairs:
[tex]-8+8=2x+6+8\\ \\0=2x+14[/tex]
3 step: Add 14 negative unit tiles to both sides and create zero pairs:
[tex]0+(-14)=2x+14+(-14)\\ \\-14=2x[/tex]
4 step: Divide the 14 negatuve unit tiles evenly among the 2 x-tiles:
[tex]\dfrac{-14}{2}=-7[/tex]
5 step: The solution is
[tex]x=-7[/tex]
Or Sherry can combine step 2 and 3 and having the equation [tex]-8=2x+6[/tex] add 6 negative unit tiles to both sides and create zero products:
[tex]-8+(-6)=2x+6+(-6)\\ \\-14=2x[/tex]
