Respuesta :

Space

Answer:

x = 0.3

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

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

7x + 0.1 + 10x - 0.2 = 5

Step 2: Solve for x

  1. Combine like terms:                     17x - 0.1 = 5
  2. Isolate x term:                               17x = 5.1
  3. Isolate x:                                        x = 0.3

Step 3: Check

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

  1. Substitute in x:                    7(0.3) + 0.1 + 10(0.3) - 0.2 = 5
  2. Multiply:                               2.1 + 0.1 + 3 - 0.2 = 5
  3. Add:                                     2.2 + 3 - 0.2 = 5
  4. Add:                                     5.5 - 0.2 = 5
  5. Subtract:                              5 = 5

Here we see that 5 does indeed equal 5.

∴ x = 0.3 is the solution to the equation.

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