Answer:
x= 95/2 or x=47.5 or 47 1/2
Explanation:
3x + 10 = 5(x - 17)
First Step:
multiply and combine the right side (parentheses)
5 times x = 5x 5 times -17 = -85
3x + 10 = 5x -85
Second Step:
Add like terms ----> which is: 3x and 5x -----10 and -85
BUT since you only want one x on one side, you combine x first.
3x + 10 = 5x -85
-5x -5x
-2x + 10 = -85
NOW
Third Step: Add the integers---> 10 and -85
you want to get 10 on the same side as the -85, so you subtract it from BOTH sides.
which brings you:
-2x + 10 = -85
-10 -10
NOW that we've subtracted -10 from -85 it's technically just adding 85 and 10 then putting a negative sign on it.
so now we have:
-2x = -95
Step Four:
divide -2 from each side to get X alone
-2x = -95
-2 -2
ANSWER:
x=47.5