Respuesta :

Answer:

[tex]x = 52[/tex]

Step-by-step explanation:

We have the following equation:

[tex]3x -17=2x+35[/tex]

First we simplify the numbers.

[tex]3x -17+17=2x+35+17[/tex]

[tex]3x=2x+52[/tex]

[tex]3x-2x=2x-2x+52[/tex]

[tex]x=52[/tex]

Space

Answer:

x = 52

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define equation

3x - 17 = 2x + 35

Step 2: Solve for x

  1. Subtract 2x on both sides:                           x - 17 = 35
  2. Add 17 to both sides:                                    x = 52

Step 3: Check

Plug in x to verify it's a solution.

  1. Substitute:                         3(52) - 17 = 2(52) + 35
  2. Multiply:                             156 - 17 = 104 + 35
  3. Subtract/Add:                    139 = 139