If 4x+5=13x+4-x-9 then x= ?

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If 4x+5=13x+4-x-9 then x= ?

2 Answer

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4x + 5 = 12x -5
10 = 8x
10/8 = x
5/4 = x

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Susie Crona
15.5k 3 10 26
answered 11 months ago
2

Answer:

x = 5/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Algebra I

  • Combining Like Terms

Step-by-step explanation:

Step 1: Define Equation

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

Step 2: Solve for x

  1. Combine like terms:                    4x + 5 = 12x - 5
  2. Subtract 4x on both sides:          5 = 8x - 5
  3. Isolate x term:                              10 = 8x
  4. Isolate x:                                       5/4 = x
  5. Rewrite:                                        x = 5/4

Step 3: Check

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

  1. Substitute in x:                    4(5/4) + 5 = 13(5/4) + 4 - 5/4 - 9
  2. Multiply:                               5 + 5 = 65/4 + 4 - 5/4 - 9
  3. Add:                                     10 = 81/4 - 5/4 - 9
  4. Subtract:                              10 = 19 - 9
  5. Subtract:                              10 = 10

Here we see that 10 does indeed equal 10.

∴ x = 5/4 is the solution to the equation.

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Rudolph Ledner
15.5k 3 10 26
answered 11 months ago