The sum of $3$ times the value of $x$ and $2$ is equal to $4$ less than $5$ times the value of $x$ .
Which equation can be used to find the value of $x$ ?

Open in App

Solution

Step-1: Obtain the equation:
$3$ times the value of $x$ will be $3 x$ and the sum of $3$ times the value of $x$ and $2$ will be $3 x + 2$ .
$5$ times the value of $x$ will be $5 x$ and $4$ less than $5$ times the value of $x$ will be $5 x - 4$ .
Equate $3 x + 2$ and $5 x - 4$ equal as per the given information:
$3 x + 2 = 5 x - 4$
Step-2: Solve the equation obtained:
Solve the linear equation in one variable as follow:
$\begin{array}{rcl} 3 x + 2 & = & 5 x - 4 \\ \Rightarrow & 2 + 4 = 5 x - 3 x [isolate the terms of x] \\ \Rightarrow & 6 = 2 x \\ \Rightarrow & 2 x = 6 \\ \Rightarrow & x = 3 [divide the equation by 3] \end{array}$
Hence, the value of $x$ is $3$ .

Suggest Corrections

Similar questions

A number $N$ is added to $15$ less than $3$ times itself the result is $101$ which equation can be used to find the value of $N$ ?

x

x

17

- 12

x :

5

x

- 50

x

1 - 2 [x] = - 3

[x]

x

The value of $x$ satisfying the equation $(x + 9) \times 4 + (2 x + 3) \times 5 = 10$ is $\frac{- 41}{14}$ .

\frac{1}{3}

\frac{1}{4}

\frac{1}{3}

\frac{1}{4}

Join BYJU'S Learning Program