Question

Consider the sequence of steps to solve the equation 3(x-4)+5x=9x-36

Answer 1

Simplification of the given expression gives value of x = 24.

Explanation:

Here, the given expression is 3(x-4)+5x=9x-36

Now, by DISTRIBUTIVE PROPERTY:

A ( B - C ) = AB - AC

Simplifying the given expression step by step ,we get:

3(x-4)+5 x = 9 x - 36 ⇒ 3(x) - 3(4) + 5x = 9x - 36

or, 3x - 12 + 5x = 9x - 36

⇒ 8x - 9x = -36 + 12

or, - x = - 24

⇒ x = 24

Hence, the the simplification of the given expression, the value of x = 24.