Question

HELP!!!

Answer 1

Answer:

1. The correct option is 2.

2. The correct option is 2.

3. The correct option is 2.

Step-by-step explanation:

Part 1.

The given equation is

$-x=2-3x+6$

Add 3x on both sides.

$-x+3x=2-3x+6+3x$

Combine like terms.

$(-x+3x)=(-3x+3x)+(2+6)$

$2x=8$

Divide both sides by 2.

$\frac{2x}{2}=\frac{8}{2}$

$x=4$

The value of x is 4. Therefore option 2 is correct.

Part 2.

The given equation is

$2(3x-4) = 8 + 2x + 4$

Step 1: $2(3x-4) = 8 + 2x + 4$

Step 2: $6x-8 = 12 + 2x$

Step 3: $6x-2x = 12 + 8$

Step 4: $4x = 20$

Step 5: $x = 5$

Student make his first mistake in step 2 and the correct step is 6x-8 = 12 + 2x. Therefore the correct option is 2.

Part 3.

The given equation is

$4m-2m + 4 = -1 + 13$

Step 1: $4m-2m + 4 = -1 + 13$

Step 2: $4m-2m + 4 = 12$

Step 3: $2m + 4 = 12$

Step 4: Subtract 4 from both sides.

$2m= 12-4$

$2m= 8$

The next step is 2m= 8. Therefore the correct option is 2.

Answer 2

1.
-x = 2 - 3x + 6
-x + 3x = 8
2x = 8
x = 8/2
x = 4

2.
Step 1: 2(3x − 4) = 8 + 2x + 4
Step 2: 5x − 6 = 12 + 2x   ←  wrong
The correct step: Step 2: 6x − 8 = 12 + 2x

3.
The next step is 2m = 8