-5[x+(-7)]=49 <----- I feel like my setup is wrong. I don't even understand how to solve it.

Guest Feb 28, 2019

#2**-1 **

DON'T STRESS

Look, I know it looks hard, but just power through and take it step by step

-5(x+[-7])=49

Distribute

-5x+35=49

-35 -35

-5x=14

Divide

x=-2.8

-DBZ

DivideByZero Feb 28, 2019

#5**+1 **

*When the sum of a number and -5 is multiplied by -7, the result us 49.*

How do you eat an elephant? One bite at a time.

Take this problem apart and look at one bite at a time.

"When the sum of a number and –5 is..." What does this mean? First, there's a number. We don't know what it is so let's let X stand for it. So the sum of X and –5 is simply X +(–5), or X–5. Put some parentheses around that, like this: (X–5)

What is the next part of the problem? "...is multiplied by –7" so let's write out that multiplication: (X–5)(–7)

The problem says that that equals 49, so put it all together (X–5)(–7) = 49

Then just multiply the left side and the equation looks like this: –7X + 35 = 49

Subtract 35 from both sides –7X = 14

Divide both sides by –7 X = –2

.

Guest Feb 28, 2019

#7**0 **

Sum of a number and -5 ==== (x+-5)

is multiplied by -7 ====== 7(x-5)

the result is 49 =========== -7(x-5) = 49 use distributive property

-7x + 35 = 49 subtract 35 from both sides of the equation

- 7x = 14 divide both sides by -7

x = -2

ElectricPavlov Feb 28, 2019

#9**0 **

Step 1: Simplify both sides of the equation.

−5(x−7)=49

(−5)(x)+(−5)(−7)=49(Distribute)

−5x+35=49

Step 2: Subtract 35 from both sides.

−5x+35−35=49−35

−5x=14

Step 3: Divide both sides by -5.

\(\frac{-5x}{-5}=\frac{14}{-5}\)

x= -14/5

answer is x=-14/5

bigbrotheprodude Feb 28, 2019