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Which equation is equivalent to [tex]4x - 6 = x + 9[/tex]?

A. [tex]4x - 6 = x + 9[/tex]
B. [tex]3x - 6 = 9[/tex]
C. [tex]4x = x + 15[/tex]
D. [tex]3x = 15[/tex]

Answer :

The given equation 4x-6=x+9 is equivalent to x = 5.

The given equation is,

4x-6=x+9

We know that,

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

So in order to solve it,

Apply following operations,

⇒ 4x-6=x+9

Add 6 both sides,

⇒ 4x-6+6 = x+9+6

⇒ 4x = x + 15

Subtract x both sides we get,

⇒ 4x - x = x + 15 - x

⇒ 3x = 15

Dividing both sides by 3 we get,

⇒ x = 5

Hence,

The solution of the given expression is x = 5.

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Answer: x=5

Step-by-step explanation:

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