When solving negative one over eight (x + 35) = −7, what is the correct sequence of operations?
-1/8(x + 35)= -7
Use distributive property(Multiply -1/8 by x and 35)
-1/8x - 35/8= -7
Add 35/8 to both sides.
-1/8x= -21/8
Divide -1/8 on both sides so that the only thing remaining on the left side is the variable x.
Final Answer: 1/21
Answer and explanation:
Given : When solving negative one over eight (x + 35) = −7
To find : What is the correct sequence of operations?
Solution :
The expression is \(-\frac{1}{8}(x+35)=-7\)
Step 1 - Multiply -8 both side,
\(-\frac{-8}{8}(x+35)=-7\times (-8)\)
\(x+35=56\)
Step 2 - Subtracting 35 both side,
\(x+35-35=56-35\)
\(x=21\)
Therefore, The value of x is 21.