Respuesta :

Space

Answer:

x = 5

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

4x - 1 = 7x - 16

Step 2: Solve for x

  1. Subtract 4x on both sides:                    -1 = 3x - 16
  2. Add 16 to both sides:                             15 = 3x
  3. Divide 3 on both sides:                          5 = x
  4. Rewrite:                                                   x = 5

Step 3: Check

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

  1. Substitute in x:                    4(5) - 1 = 7(5) - 16
  2. Multiply:                               20 - 1 = 35 - 16
  3. Subtract:                              19 = 19

Here we see that 19 does indeed equal 19.

∴ x = 5 is a solution to the equation.

Answer:

4x−1=7x−16

Step 1: Subtract 7x from both sides.

4x−1−7x=7x−16−7x

−3x−1=−16

Step 2: Add 1 to both sides.

−3x−1+1=−16+1

−3x=−15

Step 3: Divide both sides by -3.

−3x

−3

=

−15

−3

x=5

Step-by-step explanation: