Respuesta :

Answer:

[tex]x=-15.5[/tex]

Step-by-step explanation:

Write down what the problem is saying;

[tex]6(x+9)=2(x-4)[/tex]

Distribute;

[tex]6(x+9)=2(x-4)\\\\(6)(x)+(9)(6)=(2)(x)+(2)(-4)\\[/tex]

Simplify,

[tex]6x + 54 = 2x - 8[/tex]

Inverse operations,

[tex]6x + 54 = 2x - 8\\-2x\\\\4x + 54 = -8\\-54\\\\4x = - 62\\/4\\\\x =-15.5[/tex]