SOLUTION: Solve. 10(–x – 7) + 20 = –5(2x + 4) Here is what I ahve 10(-7 + -1x) + 20 = -5(2x + 4) (-7 * 10 + -1x * 10) + 20 = -5(2x + 4) (-70 + -10x) + 20 = -5(2x + 4) -70 + 20 + -10

Algebra ->  Equations -> SOLUTION: Solve. 10(–x – 7) + 20 = –5(2x + 4) Here is what I ahve 10(-7 + -1x) + 20 = -5(2x + 4) (-7 * 10 + -1x * 10) + 20 = -5(2x + 4) (-70 + -10x) + 20 = -5(2x + 4) -70 + 20 + -10      Log On


   

Question 85331: Solve. 10(–x – 7) + 20 = –5(2x + 4)
Here is what I ahve
10(-7 + -1x) + 20 = -5(2x + 4)
(-7 * 10 + -1x * 10) + 20 = -5(2x + 4)
(-70 + -10x) + 20 = -5(2x + 4)
-70 + 20 + -10x = -5(2x + 4)
-70 + 20 = -50
-50 + -10x = -5(2x + 4)
-50 + -10x = -5(4 + 2x)
-50 + -10x = (4 * -5 + 2x * -5)
-50 + -10x = (-20 + -10x)
-50 + -10x + 10x = -20 + -10x + 10x
-10x + 10x = 0
-50 + 0 = -20 + -10x + 10x
-50 = -20 + -10x + 10x
-10x + 10x = 0
-50 = -20 + 0
-50 = -20
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
10%28-x+-+7%29+%2B+20+=+-5%282x+%2B+4%29 Start with the given equation

-10%2Ax+-+10%2A7+%2B+20+=+-5%2A2x+%2B+-5%2A4%29 Distribute


-10x+-+70+%2B+20+=+-10x+%2B+-20%29 Multiply

-10x+%2B10x+-+70+%2B+20+=+cross%28-10x+%2B10x%29+%2B+-20%29 Add 10x to both sides

-70%2B20=-20 Notice the x terms add to zero

-50=-20 Combine like terms

Since this equation is false no matter what x is equal to (x is not a factor in this equation any more), there are no solutions. Notice if we graph the equations
y=10%28-x+-+7%29+%2B+20 here is the left equation in y form
y=-5%282x+%2B+4%29 here is the right equation in y form

we get

+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+10%28-x+-+7%29+%2B+20%2C-5%282x+%2B+4%29%29+

and here you can clearly see that these two parallel lines will never intersect. Since they never intersect, there are no solutions.