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