Answer:
x = -3
Explanation:
Alright, so here's our equation: [tex]\frac{1}{3}(x+6)=1[/tex]
First we need to distribute the fraction into the parentheses.
I personally do this by multiplying everything inside the parentheses by the numerator then dividing it all by the denominator.
This would give us: [tex]\frac{1}{3}x+2=1[/tex]
Remember that there is basically an "invisible" 1 sitting next to the x variable, so that times 1 is well, 1, then divided by 3 is 0.33333333 or just [tex]\frac{1}{3}[/tex] . Then obviously 6 ÷ 3 = 2
Next we want to isolate the variable so lets move the 2 over to the other side by subtracting it, which gives us:
[tex]\frac{1}{3} x=-1[/tex] (what you do to one side you to do both)
Finally, lets multiply by the reciprocal of [tex]\frac{1}{3}[/tex] which is [tex]\frac{3}{1}[/tex] in order to remove the fraction. -1 * [tex]\frac{3}{1}[/tex] is just -1 * -3 which is equal to -3
Congratulations!
[tex]x = -3[/tex]
I hope this helped! Feel free to ask any questions!
