Question

When solving negative one over eight (x + 35) = −7, what is the correct sequence of operations?

Answer 1

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.

Answer 2

-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