Question

3. Diego was solving 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. Where is Diego's mistake and what is the solution to the equation? -4(7- 2x) = 3(x+4) -288x = 3x + 12 -28 = 11x + 12 -40= 11x -40 11 =X To​

Answer 1

1. He kept 8x negative

2. The solution is 8

Explanation:

So first of all, we'll simplify -4(7 - 2x):

-4(7) - 4(-2x)

-28 - (-8x)

-28 + 8x <---- The 8x is positive

Next, we'll solve for x:

-4(7 - 2x) = 3(x + 4)

-28 - (-8x) = 3x + 12

-28 + 8x = 3x + 12

-3x -3x

-28 + 5x = 12

+28 +28

5x = 40

5x/5 = 40/5

x = 8