Q:

Follow these steps using the algebra tiles to solve the equation −5x + (−2) = −2x + 4.1. Add 5 positive x-tiles to both sides and create zero pairs.2. Add 4 negative unit tiles to both sides and create zero pairs.3. Divide the unit tiles evenly among the x-tiles.x =

Accepted Solution

A:
Answer:[tex]x=-2[/tex]Step-by-step explanation:[tex]-5x+(-2)=-2x+4[/tex][tex]-5x+(-2)+5x=-2x+4+5x[/tex]  (according to first step)[tex]-2= 3x+4[/tex][tex]-2+(-4)=3x+4+(-4)[/tex]        (according to second step)[tex]-6=3x[/tex][tex]\frac{-6}{3}[/tex]=[tex]\frac{3x}{3}[/tex]  (according to third step)[tex]-2=x[/tex][tex]x=-2[/tex]hence the solution of the given equation is  [tex]x=-2[/tex]