Question

Andre solved an equation, but when he checked his answer he saw his solution was incorrect. He knows he made a mistake, but he can't find it.-2(3x - 5) = 4(x+3) + 8-6x + 10 = 4(x+3) +8 -6x + 10 = 4x + 2010 = -2x + 20-10 = -2x5 = xAndre's mistake occurred in the transition from the ______ line to the _______ line. He _______6x on the left side but _______6x on the right side.ANSWER CHOICES FOR THE BLANKS;1ST , 2ND , 3RD , 4TH 1ST , 2ND , 3RD , 4THADDED , SUBTRACTED ADDED , SUBTRACTED

Answer 1

We are given the steps for the solution of a linear equation. Let's analyze lines 3 to 4:

`-6x+10=4x+20`

To continue solving for "x" we need to add 6x to both sides, like this:

`\begin{gathered} 10=4x+6x+20 \\ 10=10x+20 \end{gathered}`

In line 4 we have:

`10=-2x+20`

This means that instead of adding 6x, Andre subtracted 6x.