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30 votes
30 votes
2(x + 2) + 2 = 2(x + 3) + 1

2x + 3(x + 5) = 5(x – 3)
4(x + 3) = x + 12
4 – (2x + 5) = (–4x – 2)
5(x + 4) – x = 4(x + 5) – 1
n =

User Nromaniv
by
2.7k points

1 Answer

12 votes
12 votes

Answer:

No solution

Explanation:

5(x + 4) – x = 4(x + 5) – 1

x = ?

Solution:

5(x+4)−x=4(x+5)−1

Apply Distributive property:

  • (5)(x)+(5)(4)−x=(4)(x)+(4)(5)−1
  • 5x+20−x=4x+20−1

Combine Like Terms:

  • (5x−x)+(20)=(4x)+(20−1)
  • 4x+20=4x+19
  • 4x+20=4x+19

Subtract 4x from both sides:

  • 4x+20−4x=4x+19−4x
  • 20=19

Subtract 20 from both sides:

  • 20−20=19−20
  • 0=−1

There isn't any solutions.

User HanSooloo
by
3.0k points