Respuesta :

Space

Answer:

x = -7/4

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

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

Algebra I

  • Terms/Coefficients

Step-by-step explanation:

Step 1: Define

5x + 3 - 2x = 12 + 7x - 2

Step 2: Solve for x

  1. Combine like terms:                                                                                        3x + 3 = 7x + 10
  2. [SPE] Subtract 3x on both sides:                                                                    3 = 4x + 10
  3. [SPE] Subtract 10 on both sides:                                                                      -7 = 4x
  4. [DPE] Divide 4 on both sides:                                                                         -7/4 = x
  5. Rewrite:                                                                                                           x = -7/4

Step 3: Check

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

  1. Substitute in x:                     5(-7/4) + 3 - 2(-7/4) = 12 + 7(-7/4) - 2
  2. Multiply:                                -35/4 + 3 + 7/2 = 12 - 49/4 - 2
  3. Add:                                      -23/4 + 7/2 = 12 - 49/4 - 2
  4. Add:                                      -9/4 = 12 - 49/4 - 2
  5. Subtract:                               -9/4 = -1/4 - 2
  6. Subtract:                               -9/4 = -9/4

Here we see that -9/4 does indeed equal -9/4.

∴ x = -7/4 is the solution to the equation.

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