Q:

Carlton is solving a linear equation using the steps shown.Equation: -4x+12=-6xStep 1: Add 4x to both sides: 12=-6x+4xStep 2: Combine like terms: 12=-2xWhat is the next step he needs to complete in order to solve the equation?Add –2 to both sides of the equation.Subtract –2 from both sides of the equation.Multiply each side of the equation by –2.Divide each side of the equation by –2.

Accepted Solution

A:
Answer:D. Divide each side of the equation by –2.Step-by-step explanation:We have been given that Carlton is solving a linear equation using the steps shown. Equation: [tex]-4x+12=-6x[/tex]Step 1: Add 4x to both sides: [tex]12=-6x+4x[/tex]Step 2: Combine like terms: [tex]12=-2x[/tex]To solve our given equation we will divide both sides of our equation by -2.[tex]\frac{12}{-2}=\frac{-2x}{2}[/tex][tex]-6=x[/tex]Therefore, the next step Carlton needs to complete in order to solve the equation is divide each side of the equation by –2.