Answer :

Answer:

→ x = 6

Step-by-step explanation:

Given Equation :

  • 420 = 25x + 15 × 3x

We have to find :

  • Value of x

Solution :

[tex] \sf{ \longmapsto \: \: \: 420 = 25x + 15 × 3x}[/tex]

Multiplying 15 with 3x :

[tex]\sf{ \longmapsto \: \: \: 420 = 25x + 45x}[/tex]

Adding 25x and 45x :

[tex]\sf{ \longmapsto \: \: \: 420 = 70x}[/tex]

Dividing both sides with 70 :

[tex]\sf{ \longmapsto \: \: \: \cancel{ \dfrac{420}{70}} = \dfrac{ \cancel{70}x}{ \cancel{70} }}[/tex]

We get :

[tex]\sf{ \longmapsto \: \: \: \underline{ \boxed{\bold{x= 6}}}} \: \: \: \bigstar[/tex]

>>> Therefore, Value of x is "6".

VERIFICATION :

  • 420 = 25x + 15 × 3x

  • 420 = 25(6) + 45(6)

  • 420 = 150 + 270

  • 420 = 420

  • LHS = RHS

  • Hence, Verified.