Respuesta :

Space

Answer:

x = 10

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

Step-by-step explanation:

Step 1: Define Equation

(7x - 1) + (13x - 19) = 180

Step 2: Solve for x

  1. Combine like terms:                    20x - 20 = 180
  2. Isolate x term:                              20x = 200
  3. Isolate x:                                       x = 10

Step 3: Check

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

  1. Substitute in x:                    (7(10) - 1) + (13(10) - 19) = 180
  2. Multiply:                               (70 - 1) + (130 - 19) = 180
  3. Subtract:                              69 + 111 = 180
  4. Add:                                     180 = 180

Here we see that 180 does indeed equal 180.

∴ x = 10 is the solution to the equation.

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