Question

Solve the following equations and check your result. 5+7x-9=9x-2-x​

Answer 1

Answer:

5+7x-9=9x-2-x

5-9+2=9x-x-7x

7-9=9x-8x

-2=x

So,x=-2

Step-by-step explanation:

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Answer 2

Answer:

=> The value of x is -2 and it satisfies the expression.

Step-by-step explanation:

Given that:-

$5+7x-9=9x-2-x$

To find:- The value of the expression and also verify it.

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,

=> $5+7x-9=9x-2-x$

Subtract the numbers, we get

=> $-4 + 7 x = 9 x - 2 - x$

Rearranging the terms, we get

=> $7 x -4= 9 x - 2 - x$

Combine like terms,

=> $7x - 4 = 8x - 2$

Add both sides by $4$, we get

=> $7x = 8x + 2$

Now subtract both sides by $8x$, we get

=> $-x = 2$

Divide both sides by $-1$, we get

=> $x = -2$

Hence, the required solution is -2.

Verification:-

Plug the value of x in the expression,

=> $5+7x-9=9x-2-x$

=> 5 + 7 ( -2 ) - 9 = 9 ( -2 ) - 2 - ( -2 )

=> 5 + ( -14 ) - 9 = ( -18 ) - 2 - ( -2 )

=> -18 = -18

LHS = RHS