Answer:
[tex]x=-\frac{15}{2}[/tex]
Step-by-step explanation:
Start by distributing the 6 to each of the terms in the parentheses:
6(x)+6(9)=9
6x+54=9
Subtract 54 from both sides
6x+54-54=9-54
6x=-45
Divide both sides by 6
x=-45/6
Divide the fraction by 3/3 since it is the greatest common factor of 45 and 6. Note we can only do this since 3/3 is equivalent to 1, so we are essentially dividing the fraction by 1.
x=-15/2
[tex]\huge \boxed{\tt x= - 7.5}[/tex]
Step-by-step explanation:
[tex] \to \sf6(x+9)=9[/tex]
[tex] \\ \\ [/tex]
[tex] \to \sf(x+9)= \dfrac{9}{6} [/tex]
[tex] \\ \\ [/tex]
[tex] \to \sf(x+9)= \dfrac{3}{2} [/tex]
[tex] \\ \\ [/tex]
[tex] \to \sf x= \dfrac{3}{2} - 9[/tex]
[tex] \\ \\ [/tex]
[tex] \to \sf x= \dfrac{3 - 18}{2} [/tex]
[tex] \\ \\ [/tex]
[tex] \to \sf x= \dfrac{ - 15}{2} [/tex]
[tex] \\ \\ [/tex]
Round of -15 / 2 to get product as - 7.5
[tex] \to \sf x= - 7.5[/tex]
Verification:
6(x+9)=9
6(- 7.5 +9) = 9
6 × 1.5 = 9
9 = 9
Hence verified ~☆
