Question

please answer all 10 questions with all steps thank you

1) 5n+3=14-6n

2) 3(2x+11)=6x+33

3) 4(x-5)-5=6x+7.4-4x

4) 1/2(2n+6)=5n-12-n

5)3y-1=13-4y

6) 4n+8=9n-7

7)5n+20n=5(n+20)

8)3(4x-2)=12x

9) 100(x-3)=450-50x

10) 2P-12=12-2P

Answer 1

Simplifying 2p + -12 = 12 + -2p Reorder the terms: -12 + 2p = 12 + -2p Solving -12 + 2p = 12 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -12 + 2p + 2p = 12 + -2p + 2p Combine like terms: 2p + 2p = 4p -12 + 4p = 12 + -2p + 2p Combine like terms: -2p + 2p = 0 -12 + 4p = 12 + 0 -12 + 4p = 12 Add '12' to each side of the equation. -12 + 12 + 4p = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 4p = 12 + 12 4p = 12 + 12 Combine like terms: 12 + 12 = 24 4p = 24 Divide each side by '4'. p = 6 Simplifying p = 6

Answer 2

Simplifying 2p + -12 = 12 + -2p Reorder the terms: -12 + 2p = 12 + -2p Solving -12 + 2p = 12 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -12 + 2p + 2p = 12 + -2p + 2p Combine like terms: 2p + 2p = 4p -12 + 4p = 12 + -2p + 2p Combine like terms: -2p + 2p = 0 -12 + 4p = 12 + 0 -12 + 4p = 12 Add '12' to each side of the equation. -12 + 12 + 4p = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 4p = 12 + 12 4p = 12 + 12 Combine like terms: 12 + 12 = 24 4p = 24 Divide each side by '4'. p = 6 Simplifying p = 6