Respuesta :

iamaperson1010

Answer:

x=3

Step-by-step explanation:

7x+2=4x+11 ---> subtract 2 to the other side and subtract 4x to the other side

7x-4x=11-2 ---> combine like terms

3x=9 ---> divide by 3

x=3

Space

Answer:

x = 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

Step-by-step explanation:

Step 1: Define Equation

7x + 2 = 4x + 11

Step 2: Solve for x

  1. Subtract 4x on both sides:                    3x + 2 = 11
  2. Subtract 2 on both sides:                      3x = 9
  3. Divide 3 on both sides:                          x = 3

Step 3: Check

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

  1. Substitute in x:                    7(3) + 2 = 4(3) + 11
  2. Multiply:                               21 + 2 = 12 + 11
  3. Add:                                     23 = 23

Here we see that 23 does indeed equal 23.

∴ x = 3 is the solution to the equation.

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