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Flura [38]
3 years ago
7

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

Mathematics
2 answers:
enyata [817]3 years ago
8 0
4x + 5 = 12x -5
10 = 8x
10/8 = x
5/4 = x

Llana [10]3 years ago
6 0

Answer:

x = 5/4

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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

Equality Properties

<u>Algebra I</u>

  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define Equation</u>

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

<u>Step 2: Solve for </u><em><u>x</u></em>

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

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    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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