Respuesta :

Answer:

Solving for x gives x=7

Step-by-step explanation:

First lets rewrite our equation clear, which from the question reads as :

[tex](x-1)\frac{1}{3}=2[/tex]     Eqn(1).

This is a case of an equation with one variable (i.e. one uknown) denoted as [tex]x[/tex].

The question is asking as to solve this equation and obtain the value of [tex]x[/tex].

To do so we start by rewriting and simplifying the equation as follow: [tex](x-1)\frac{1}{3}=2[/tex]

which is the same as

[tex]\frac{(x-1)}{3}=2[/tex]

Here we have a fraction on the left hand side reading as [tex]\frac{(x-1)}{3}[/tex] and an integer on the right hand side as [tex]2[/tex]. Thus we move the denominator of the fraction, in this case [tex]3[/tex] to the right hand side where we multiply it with [tex]2[/tex], to eliminate our fraction and solve for [tex]x[/tex] as follow:

[tex]x-1 =2*3\\x-1=6\\x=6+1\\x=7[/tex]

(Note how we transferd [tex]-1[/tex] from the left hand side to the right hand side, the sign changed from negative to positive).

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