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]
