Answer:
[tex]x=1[/tex]
Step-by-step explanation:
If [tex]f(x)=6x-2[/tex] and [tex]g(x)=-3x+7,[/tex] then the equation
[tex]f(x)=g(x)[/tex]
is equivalent to the equation
[tex]6x-2=-3x+7[/tex]
Add [tex]3x[/tex] to both sides of the equation:
[tex]6x-2+3x=-3x+7+3x\\ \\(6x+3x)-2=(-3x+3x)+7\\ \\9x-2=7[/tex]
Add 2 to both sides of the equation:
[tex]9x-2+2=7+2\\ \\9x=9[/tex]
Divide by 9:
[tex]x=1[/tex]
