Answer:
Exact Form:
[tex]x=\frac{39}{14}[/tex]
Decimal Form:
x=2.78571428…
Mixed Number Form:
[tex]x=2\frac{11}{14}[/tex]
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
[tex]-6\left(x-8\right)[/tex]
[tex]=-6x-\left(-6\right)\cdot \:8[/tex]
[tex]=-6x+6\cdot \:8[/tex]
[tex]=-6x+48[/tex]
[tex]8x+9=-6x+48[/tex]
[tex]\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}[/tex]
[tex]8x+9-9=-6x+48-9[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]8x=-6x+39[/tex]
[tex]\mathrm{Add\:}6x\mathrm{\:to\:both\:sides}[/tex]
[tex]8x+6x=-6x+39+6x[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]14x=39[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}14[/tex]
[tex]\frac{14x}{14}=\frac{39}{14}[/tex]
[tex]Simplify[/tex]
[tex]x=\frac{39}{14}[/tex]
