Question

Using the equality properties, we can solve the problem 3/2 (4-8x) + 5x = 1 - 7x as follows:

1. Divide the 3/2 among the terms enclosed in parenthesis as follows:

(3/2)(4) - (3/2)(8x) + 5x = 1 - 7x



That amounts to:

6 - 12x/2 + 5x = 1 - 7x



2. Clarify the terminology on the left:

6 - 6x + 5x = 1 - 7x



combining similar terms

6 - x = 1 - 7x



3. Isolate x on one side to remove the variables:

X-terms should be moved to the left:

-x + 7x = 1 - 6



combining similar terms

6x = -5



4. By dividing both sides by 6, find the value of x:

x = -5/6



As a result, the equation's answer is x = -5/6.



There is only one solution because we determined a certain value for x.

Answer 1

Correct! The equation has one solution since we found a specific value for x, which is x = -5/6.