Step-by-step explanation:
I'm not sure if the question is [tex]\frac{1}{3}x + 3 = 13[/tex] or [tex]\frac{1}{3x} + 3 = 13[/tex], so we can do both:
[tex]\frac{1}{3}x + 3 = 13[/tex]
First, let's subtract [tex]3[/tex] from both sides to isolate the [tex]x[/tex] on the left-hand side:
[tex]\frac{1}{3}x = 10[/tex]
Next, let's multiply both sides by [tex]3[/tex] to get [tex]x[/tex] by itself:
[tex]x = 30[/tex]
[tex]\frac{1}{3x} + 3 = 13[/tex]
First, let's subtract [tex]3[/tex] from both sides to isolate the [tex]x[/tex] on the left-hand side:
[tex]\frac{1}{3x} = 10[/tex]
Next, we can take the reciprocal of both sides to get rid of the fraction on the side with [tex]x[/tex]:
[tex]3x = \frac{1}{10}[/tex]
Next, we can divide both sides by [tex]3[/tex] to get [tex]x[/tex] by itself:
[tex]x = \frac{1}{30}[/tex]
Answer:
x = 30
Step-by-step explanation:
to solve for value of x in this expression 1/3x+3=13
solution
1/3x+3=13
collect the like terms
1/3x = 13 -3
1/3x = 10
multiply through by 3
x = 30