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Solve for x: 2/5(x-2)=4x

Sagot :

Space

Answer:

x = -2/9

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

Algebra I

  • Equality Properties

Step-by-step explanation:

Step 1: Define

2/5(x - 2) = 4x

Step 2: Solve for x

  1. Distribute 2/5:                                  2/5x - 4/5 = 4x
  2. Subtract 2/5x on both sides:          -4/5 = 18/5x
  3. Divide both sides by 18/5:              -2/9 = x
  4. Rewrite:                                            x = -2/9

Answer:

x = -2/9

Step-by-step explanation:

Multiply both sides by 5

2(x - 2) = 4x*5

2x - 4 = 20x            Subtract 2x from both sides

-4 = 18x                   Divide by 18

-4/18 = x

x = -2/9

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