I need help with these basic algebra problems, I am 12 years old and trying to learn, please show me how?

Question

18+4(w-1)=5w+6
5(y+4)=10
n+5=9n-11
-50-6=-8x+x
-11x=-5+38

Answer 1

18 + 4(w - 1) = 5w + 6

18 + 4w - 4 = 5w + 6

14 + 4w - 4 = 5w + 6

14 + 4w - 4w = 5w + 6 - 4w

14 = x + 6

14 - 6 = x + 6 - 6

8 = x

- - - - - - - - - - - - - - - -

5(y + 4) = 10
5y + 20 = 10

5y + 20 - 20 = 10 - 20

5y = - 10

5y/5 = -10/5

y = - 2

- - - - - - - - - - - - - - - - - -

n + 5 = 9n - 11

n + 5 - n = 9x - 11 - n

5 = 8n - 11

5 + 11 = 8n - 11 + 11

16 = 8n

16/8 = 8n/8

2 = n

- - - - - - - - - - - - - - - - - - - - - -

- 50 - 6 = - 8x + x

- 56 = 7x

- 56/7 = 7x/7

- 8 = x

- - - - - - - - - - - - - - - - - - - - - - - -

- 11x = - 5 + 38

- 11x = 33

- 11x/ -11 = 33/- 11

x = - 3

- - - - - - - - -s-

Answer 2

18+4(w-1)=5w+6
18 + 4w - 4 = 5w + 6
18 -4 - 6 = 5w - 4w
w = 8

5(y+4)=10
5y + 20 = 0
5y = -20
y = -4

n+5=9n-11
5 + 11 = 9n -n
16 = 8n
n = 2

-50-6=-8x+x
-56 = -7x
x = 9

-11x=-5+38
-11x = 33
x = -3

Answer 3

It's all about isolating the variable on one side of the equal sign. Let's do the first one:

18+4(w-1)=5w+6. First, get rid of the brackets:

18 + 4w - 4 = 5w + 6. Then, simplify - you have 18 and -4 on the left side, add these up:

14 + 4w = 5w + 6. Subtract 6 from both sides to have number terms on one side only:

8 + 4w = 5w. Subtract 4w on both sides to have w's only on the right side.

8 = 5w - 4w = w.

Therefore w = 8.

Good luck with the rest!

Answer 4

18+4(w-1)=5w+6 distribute 4 on LHS
18+4w-4=5w+6 subtract 6 from each side
8+4w=5w subtract 4w from each side
w-8

5(y+4)=10 divide both sides by 5
y+4=2 subtract 4 from each side
y=-2

n+5=9n-11 add 11 to each side
n+16=9n subtract n from each side
16=8n divide by 8
2=n or n=2

-50-6=-8x+x combine like terms
-56=-7x divide by -7
8=x or x=8

-11x=-5+38 combine like terms
-11x=33 divide by -11
x=-3

Answer 5

the first one was done, so I'll walk you through the second:

5 (y+4) = 10

Distribute the 5 into the parentheses, so you get:

5y + 20 = 10

Subtract 20 from both sides to isolate the variable:

5y = -10

Divide both sides by 5 to get y by itself:

y = -2

Edit: I think she wanted help learning how to do it, not just the solved equations. However, if you're going to just solve them, please do it correctly. 56 / 7 = 8 not 9 so the answer to #4 would be x = 8...

Answer 6

18+4[w-1]=5w+6
18+4w-4=5w+6
5w-4w=12-6
w=6
5[y+4]=10
5y+20=10
5y=-10
y=-2
Solve other problems yourself.
They are quite simple.

Answer 7

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