Question

Simplify and solve for ′x’ : 2x/5− 3 = 17

Answer 1

As per the data given in the question,

We have to determine the value of "x" in the given expression.

As per question,

It is given that,

$\frac{2x}{5}-3=17$

So, for solving the given expression,

We will shift the (-3) from LHS of the equation to the RHS of the equation.

We will get the expression as,

$\frac{2x}{5}-3=17\\=>\frac{2x}{5}=17+3$

As 5 is in denominator of 2x,

So, for solving the value of "x" we will shift 5 from LHS to RHS.

We will get,

$\frac{2x}{5}=17+3\\=>\frac{2x}{5}=20\\=>2x=20\times 5\\=>x = \frac{20\times 5}{2} = \frac{100}{2} = 50$

Hence, value of "x" in the given expression will be 50.

Answer 2

• As per the data given in the question, we have to find the value of the expression.

           Given data:- $\frac{2x}{5} -3=17.$

           To find:-Value of $x.$

           Solution:-

• Here, we will use the below following steps to find a solution using the transposition method:

• Step 1:- we will Identify the variables and constants in the given simple equation.

• Step 2:-then we Simplify the equation in LHS and RHS.

• Step 3:- Transpose or shift the term on the other side to solve the equation further simplest.

• Step 4:- Simplify the equation using arithmetic operation as required that is mentioned in rule 1 or rule 2 of linear equations.

• Step 5:- Then the result will be the solution for the given linear equation. By using the transposition method. we get,

        $\frac{2x}{5} -3=17\\\begin{array}{l}=>\frac{2 x}{5}=17+3 \\=>\frac{2 x}{5}=20 \\=>2 x=20 \times 5 \\=>x=\frac{20 \times 5}{2}=\frac{100}{2}=50\end{array}$

Hence we will get the value of $x$ is $50.$