SOLUTION: With these two problems, I am very confused, because math is not my thing, and I do not understand it. 1. -3[5+2(-7+x)+x]= -3x- (x+3) I do not even know where to begin with thi

Algebra ->  College  -> Linear Algebra -> SOLUTION: With these two problems, I am very confused, because math is not my thing, and I do not understand it. 1. -3[5+2(-7+x)+x]= -3x- (x+3) I do not even know where to begin with thi      Log On


   



Question 148913: With these two problems, I am very confused, because math is not my thing, and I do not understand it.
1. -3[5+2(-7+x)+x]= -3x- (x+3) I do not even know where to begin with this one.
2. 4x+4/5= 5x-1/2-x/3 (the / are over signs)

Found 2 solutions by ankor@dixie-net.com, mangopeeler07:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
1. -3[5+2(-7+x)+x] = -3x- (x+3)
:
Begin inside the brackets, multiply 2 times -7 and x. eliminates one set of brackets.
and you have:
-3[5 - 14 + 2x+ x] = -3x - (x+3)
:
Do the math inside the brackets:
-3(-9 + 3x) = -3x - (x+3)
:
Multiply what's inside the brackets
Remember, a neg outside the brackets changes the signs
+27 - 9x = -3x - x - 3
:
27 - 9x = -4x - 3
:
Some basic algebra, isolate x
+27 + 3 = -4x + 9x
:
30 = + 5x
x = +30%2F5
x = 6
:
:
Check solution in original equation, replace x with 6
-3[5+2(-7+6)+6] = -3(6)- (6+3)
-3[5 + 2(-1) + 6] = -18 - 9
-3[5 - 2 + 6] = -27
-3(9) = -27; confirms our solution, x=6
;
:
:
2. 4x + 4/5 = 5x-1/2 - x/3
Do mean:
4x+%2B+%284%2F5%29 = %28%285x-1%29%29%2F2 - x%2F3
or
4x+%2B+%284%2F5%29 = 5x - 1%2F2 - x%2F3
or something else, use brackets to clarify things here

Answer by mangopeeler07(462) About Me  (Show Source):
You can put this solution on YOUR website!
1.-3[5+2(-7+x)+x]= -3x- (x+3)

Distribute to the parentheses:
-3[5-14+2x+x]=-3x-x-3

Distribute the 3
-15+42-6x-3x=-3x-x-3

Combine like terms
27-9x=-4x-3

Add 9x to both sides
27=5x-3

Add 3 to each side
30=5x

Divide by 5
x=6
-------------------------------------------------------------------------------
2. 4x+4/5= 5x-1/2-x/3

Find the Common denominator: 5(2)(3)=30
24x+24/30=75x-15/30-10x/30

Now eliminate the denominator
24x+24=75x-15-10x

Combine like terms
24x+24=65x-15

Subtract 24 from both sides
24x=65x-39

Subtract 65x from both sides
-41x=-39

Divide by -41
x=39/41