Question

Hozumi is working on a homework problem. She needs to solve an equation and has

completed the steps shown.
2x + 5 = -4(x + 5)
2x + 5 = -4x - 20
6x = -25
Whích property can she use in the final step to find the value of x?
A. Division Property of Equality
B. Subtraction Property of Equality
C. Distributive Property of Equality
D. Multiplication Property of Equality

Answer 1

A. Division Property of Equality

Explanation:

`2x + 5 = -4(x + 5)\\`

Using Distributive Property in -4(x + 5)

`2x + 5 = -4x - 20\\`

Using Subtraction Property, subtracting -5 in both sides

`2x = -4x - 25\\`

Using Addition Property, adding 4x in both sides

`6x = -25`

Now, using the Division Property of Equality, dividing both sides by 6

`$x =- (25)/(6) $`

Answer 2

Division

Explanation:

to get the value of X you have to divide both sides by 6

6x=-25

x=-25/6