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5x +9–3(x-1)=(3x –13)+(4x -30)
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User Caroline
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2 Answers

2 votes

Answer:

x=11

Explanation:

[remember: (-)(-) is (+) , (-)(+) is (-) , (+)(+) is (+)]

5x + 9 – 3(x-1) = (3x –13) + (4x -30)

5x + 9 -3x + 3 = 3x -13 + 4x -30

5x -3x + 9 + 3 = 3x + 4x -13 -30

2x + 12 = 7x - 43

2x - 7x = -43 - 12

-5x = -55

x = -55/-5

x = 11

hope you understood!!

User Niieani
by
8.3k points
3 votes

Answer:

x = 11

General Formulas and Concepts:

Pre-Algebra

  • Order of Operations: BPEMDAS
  • Equality Properties

Explanation:

Step 1: Define equation

5x + 9 - 3(x - 1) = (3x - 13) + (4x - 30)

Step 2: Solve for x

  1. Distribute 3: 5x + 9 - 3x + 3 = 3x - 13 + 4x - 30
  2. Combine like terms: 2x + 12 = 7x - 43
  3. Subtract 2x on both sides: 12 = 5x - 43
  4. Add 43 on both sides: 55 = 5x
  5. Divide 5 on both sides: 11 = x
  6. Rewrite: x = 11

Step 3: Check

Plug in x into the original equation to verify it's a solution.

  1. Substitute in x: 5(11) + 9 - 3(11 - 1) = (3(11) - 13) + (4(11) - 30)
  2. Multiply: 55 + 9 - 3(11 - 1) = (33 - 13) + (44 - 30)
  3. Subtract: 55 + 9 - 3(10) = 20 + 14
  4. Multiply: 55 + 9 - 30 = 20 + 14
  5. Add: 64 - 30 = 34
  6. Subtract: 34 = 34

Here we see that 34 does indeed equal 34.

∴ x = 11 is a solution of the equation.

User Fightlight
by
8.1k points

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