Question

Find the solution of 7x + 4 = 4(x – 1) + 7​

Answer 1

Answer:

x = -1/3

Step-by-step explanation:

7x+4=4(x-1)+7

= 7x+4=4x-4+7

=7x-4x= -4+7-4

=3x=-1

=x= -1/3

Therefore x=-1/3

Answer 2

Answer:

=> The value of x is $-\frac{1}{3} .$

Step-by-step explanation:

Given that:-

$7x + 4 = 4(x - 1) + 7$

To find:- The value of the expression:

Here we will use the transposition method.

We have to follow these steps:-

( i ) First of all, we have to identify the variables and the constants.

( ii ) Get the variable to one side of the equation. Maintain equation balance while calculating.

( iii ) Then solve the expression of both sides by using various mathematical operations. Simplify both sides.

As we have,

=> $7x + 4 = 4(x - 1) + 7$

Distributing the terms, we get

=> $7x + 4 = 4x - 4 + 7$

Add the numbers, we get

=> $7x + 4 = 4x+3$

Subtract both sides by $4$, we get

=> $7x + 4-4 = 4x+3-4$

=> $7x =4x - 1$

Subtract both sides by $4x$,

=> $7x -4x=4x - 1-4x$

=> $3x = -1$

Divide both sides by $3$, we get

=> $x = -\frac{1}{3}$

Hence, the required solution is $-\frac{1}{3} .$