Answer:
X=0.25
Explanation:
You use the distributive property:
7 distributed into (x - 3) and the 3 into the (4 - x).
Then you solve:
7 · x - 7 · (-3) + 3 · 4 - 3 · (- x) = - 8
7x - 21 + 12 - 3x = - 8
Then you combine/add - 21 and 12:
7x - 9 - 3x = - 8
Then you combine/add 7x and - 3x:
- 9 + 4x = - 8
Then you add the opposite of - 9 (also known as 9) to both sides of the equation:
Then it gives you 4x = 1:
Then you divide both sides by 4:
4x/4 = 1/4
Then that would give you your answer which is 0.25.
If you would like to check you would simply do the following:
First input 0.25 into where x is:
7(0.25 - 3) + 3(4 - 0.25) = - 8
Then you solve what's in the parenthesis which gives you:
7(- 2.75) + 3 (3.75) = - 8
Then you multiply 7 by what is in the parenthesis next to it and multiply 3 by the parenthesis next to it which gives you:
- 19.25 + 11.25 = - 8
Then you add - 19.25 and 11.25 which gives you:
- 8 = - 8
That means that it is correct! :)
Hope this helps! :D