Question

Solve: 2( x− 5) − 7 = 3( x− 2)​

Answer 1

2x - 10-7 = 3x -6

2x - 17 = 3x -6

2x - 3x = -6+7

-x = 11

x = -11

verification

l.h.s = 2 (-11-5)-7

-22-10-7

-32-7

-39

r.h.s = 3(-11-2)

-33-6

-39

L.H.S = R.H.S so it is verified also

Answer 2

Answer:

Hence we get the value of x$= -11$

Step-by-step explanation:

As per the data in given equation

In above question it is given that

We have find the value of given expression

Given the data in question 2( x− 5) − 7 = 3( x− 2)​

We have find the value of x in above equation

Arrange the equation and multiply the2into(x-5)  and multiply 3 into (x-2)and

get balance equation,

$2x-10-7=3x-6$

$2x-17=3x-6$

Hence, for solving the above equation, we will solve it by separating the like terms at one side to other side

So, we will shift 17 from LHS to RHS the sign will change from negative  to positive,

So, we will shift 3x from RHS to LHS the sign will change from positive  to negative,

As we get ,

$2x-17=3x-6\\2x-3x=-6+17\\-x=11$

Shifting( -)negative sign from LHS to RHS we get the value of x as follow,

$x=-11$