Question

the equation 8x+6-10x=-2(3x-1) is solved by four students. they each show the first step of their work. what is an invalid first step

Answer 1

Explanation:

The first step is the distribute the -2 over the parentheses, so it's:

8x + 6 - 10x = -2*3x + - 2* -1

8x + 6 - 10x = -6x + 2.

Answer 2

Answer:8x+6−10x=−2(3x−1)

Step 1: Simplify both sides of the equation.

8x+6−10x=−2(3x−1)

8x+6+−10x=(−2)(3x)+(−2)(−1)(Distribute)

8x+6+−10x=−6x+2

(8x+−10x)+(6)=−6x+2(Combine Like Terms)

−2x+6=−6x+2

−2x+6=−6x+2

Step 2: Add 6x to both sides.

−2x+6+6x=−6x+2+6x

4x+6=2

Step 3: Subtract 6 from both sides.

4x+6−6=2−6

4x=−4

Step 4: Divide both sides by 4.

4x

4

=

−4

4

x=−1

Answer:

x=−1