Question

p-(2p+5) - 5(1 - 2p) = 2(3 + 4p) - 3 (p - 4)​

Answer 1

Answer:

Simplifying

p + -1(2p + 5) + -5(1 + -2p) = 2(3 + 4p) + -3(p + -4)

Reorder the terms:

p + -1(5 + 2p) + -5(1 + -2p) = 2(3 + 4p) + -3(p + -4)

p + (5 * -1 + 2p * -1) + -5(1 + -2p) = 2(3 + 4p) + -3(p + -4)

p + (-5 + -2p) + -5(1 + -2p) = 2(3 + 4p) + -3(p + -4)

p + -5 + -2p + (1 * -5 + -2p * -5) = 2(3 + 4p) + -3(p + -4)

p + -5 + -2p + (-5 + 10p) = 2(3 + 4p) + -3(p + -4)

Reorder the terms:

-5 + -5 + p + -2p + 10p = 2(3 + 4p) + -3(p + -4)

Combine like terms: -5 + -5 = -10

-10 + p + -2p + 10p = 2(3 + 4p) + -3(p + -4)

Combine like terms: p + -2p = -1p

-10 + -1p + 10p = 2(3 + 4p) + -3(p + -4)

Combine like terms: -1p + 10p = 9p

-10 + 9p = 2(3 + 4p) + -3(p + -4)

-10 + 9p = (3 * 2 + 4p * 2) + -3(p + -4)

-10 + 9p = (6 + 8p) + -3(p + -4)

Reorder the terms:

-10 + 9p = 6 + 8p + -3(-4 + p)

-10 + 9p = 6 + 8p + (-4 * -3 + p * -3)

-10 + 9p = 6 + 8p + (12 + -3p)

Reorder the terms:

-10 + 9p = 6 + 12 + 8p + -3p

Combine like terms: 6 + 12 = 18

-10 + 9p = 18 + 8p + -3p

Combine like terms: 8p + -3p = 5p

-10 + 9p = 18 + 5p

Solving

-10 + 9p = 18 + 5p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-5p' to each side of the equation.

-10 + 9p + -5p = 18 + 5p + -5p

Combine like terms: 9p + -5p = 4p

-10 + 4p = 18 + 5p + -5p

Combine like terms: 5p + -5p = 0

-10 + 4p = 18 + 0

-10 + 4p = 18

Add '10' to each side of the equation.

-10 + 10 + 4p = 18 + 10

Combine like terms: -10 + 10 = 0

0 + 4p = 18 + 10

4p = 18 + 10

Combine like terms: 18 + 10 = 28

4p = 28

Divide each side by '4'.

p = 7

Simplifying

p = 7

Step-by-step explanation:

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Answer 2

Answer:

p-(2p+5)-5(1-2p)=2(3+4p)-3(p-4)

open the bracket s

=p-2p-5-5+10p=6+8p-3p+12

= 9p-10=5p+18

9p-5p=18+10

4p= 28

p= 28/4

= 7

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