Answer :
Answer:
X = [tex] - \frac{1}{3} [/tex]
Step-by-step explanation:
[tex] \frac{5}{x + 2} = 3[/tex]
Apply cross product property:
[tex]5 \times 1 = 3(x + 2)[/tex]
Distribute 3 through the parentheses:
[tex]5 = 3x + 6[/tex]
Move variable to L.H.S and change its sign
[tex] - 3x + 5 = 6[/tex]
Move constant to RHS and change its sign
[tex] - 3x = 6 - 5[/tex]
Calculate
[tex] - 3x = 1[/tex]
Divide both sides of the equation by -3
[tex] \frac{ - 3x}{ - 3} = \frac{1}{ - 3} [/tex]
Calculate
[tex]x = - \frac{1}{3} [/tex]
Hope this helps...
Best regards!
5/x+2 = 3
..
5 = ( x + 2) 3
5 = 3x + 6
5 + (-6) = (3x + 6 + (-6)
-1 = (3x+6) - 6
-1 = 3x
switcharoo
3x/3 = -1/3
x = -1/3