Question

Fill in the missing steps and justification

Answer 1

Step-by-step explanation:

1. 4x - 7 = -2x + 12, Given

2. 4x - 7 + 2x = -2x + 12 + 2x, Addition property of equality

3. 6x - 7 = 12, Simplification

4. 6x - 7 + 7 = 12 + 7, Addition property of equality

5. 6x = 19, Simplification

6. 6x/6 = 19/6, Division property of equality

7. x = 19/6, Simplification

Answer 2

Answer:

The steps are :

1. $4x-7=-2x+12$ - This is Given

2. $4x-7+2x=-2x+12+2x$ - Here, addition property of equality is used.

3. $6x-7=12$ - This step is simplification as both the LHS and RHS are being calculated and simplified.

4. $6x-7+ 7=12+7$ - Here, again addition property of equality is applied.

5. $6x =19$ - This is simplification again.

6. $\frac{6x}{6}=\frac{19}{6}$ - Here the division property of equality is applied.

7. $x=\frac{19}{6}$ - This step is simplification.