Question

Fill in the missing steps and justification

Answer 1

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.
`(6x)/(6)=(19)/(6)` - Here the division property of equality is applied.

7.
`x=(19)/(6)` - This step is simplification.

Answer 2

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