Question

The value of x in equation 9x - 4 = 6x + 29 is *​

Answer 1

Answer:

9x-4=6x+29

3x=33

x=11

Answer 2

$\sf \: 9x - 4 = 6x + 29$

Putting the variables in the LHS and the constants in the RHS,

$\sf \: 9x - 6x = 29 + 4$

On simplifying,

$\sf \: 3x = 33$

Transposing 3 from LHS to RHS, changing its sign,

$\sf \: x = \dfrac{33}{3}$

Dividing 33 by 3,

$\sf \: x = 11.$

Verification :-

To check our answer, we just have to put 11 (value of x) in the place of x and check whether LHS = RHS.

Lets do it!!

Putting 11 in place of x,

$\sf \: 9 \times 11 - 4 = 6 \times 11 + 29$

On simplifying,

$\sf \: 99 - 4 = 66 + 29$

Simplifying again, we get

$\sf \: 95 = 95.$

Since LHS = RHS,

Hence verified! ✔️✔️