Q:

Maricella solves for x in the equation 4x-2(3x-4)+4=-x+3(x+1)+1 . She begins by adding –4 + 4 on the left side of the equation and 1 + 1 on the right side of the equation. Which best explains why Maricella’s strategy is incorrect?The multiplication that takes place while distributing comes before addition and subtraction in order of operations.In order to combine like terms on one side of the equation, the inverse operation must be used.When the problem is worked in the correct order, the numbers that Maricella added are not actually like terms.Maricella did not combine all three constants on both sides of the equation; she combined only two.can you help me please

Accepted Solution

A:
Answer:Option 1.Step-by-step explanation:The given equation is[tex]4x-2(3x-4)+4=-x+3(x+1)+1[/tex]To solve the given equation for x, first we need to use distributive property.Using Distributive property we get[tex]4x-2(3x)-2(-4)+4=-x+3(x)+3(1)+1[/tex]Now we need to add -2(-4)+4 on left side and 3(1)+1 on right side.It is given that Maricella begins by adding –4 + 4 on the left side of the equation and 1 + 1 on the right side of the equation.She was incorrect because the multiplication that takes place while distributing comes before addition and subtraction in order of operations.Therefore, the correct option is 1.