58.9k views
2 votes
Distributive Property Find what is x.

Please show step by step

-7(x+9)= 9(x-5)-14x
Two choices
A) -9
B) 1/4

User Candace
by
8.0k points

2 Answers

3 votes
-7(x + 9) = 9(x - 5) - 14x → Given
-7x - 63 = 9x - 45 - 14x → Distributive Property
-7x - 63 = -5x - 45 → Combine like terms (9x and -14x)
-12x - 63 = -45 → Addition property of equality (-7x and -5x)
-12x = 18 → Addition property of equality (Add 63 to both sides)
x = -³/₂ or -1 ¹/₂ or -1.5

Hope it helps.
User Ilonpilaaja
by
8.2k points
3 votes
A) -9

-7(x+9)=9(x-5)-14x
-7x-63=9x-45-14x
-45 -45
-7x-18=9x-14x
+7x +7x
-18=9x+7x-14x
-18=2x
(-18)/2=(2x)/2
-9=x
User Angus L
by
8.4k points