Question

If the given expression 6x+15=3(x+15).Find the value of x and verify the answer​

Answer 1

Answer:

6x+15 = 3x+45

6x-3x = 45-15

3x = 30

x= 10

Answer 2

Answer:

The value of x is 10 and also it satisfies the equation.

Step-by-step explanation:

In context to questions asked

We have to determine the value of the equation,

Given that,

$6x+15=3(x+15)$

Here we will use the transposition method,

Distributing the terms,

=> $6x+15=3x+45$

Now subtract both sides by 15:

=> $6x+15-15=3x+45-15$

Simplifying it further,

=> $6x=3x+30$

Subtract both sides by $3x$,

=> $6x-3x=3x+30-3x$

=> $3x = 30$

Divide both sides by 3,

=> $x = 10$

Hence, the required solution is 10.

Verification:-

Plug the value of x as 10 in the equation,

=> $6(10) +15=3(10+15)$

=> 60 + 15 = 3 ( 25 )

=> 75 = 75

LHS = RHS