Respuesta :

Answer:

x = 11

Step-by-step explanation:

12x - 3x + 90 = 12x + 57

simplify both sides

12x - 3x + 90 = 12x + 57

9x + 90 = 12x + 57

inverse operations

9x + 90 = 12x + 57

-9x            -9x

90 = 3x + 57

-57         -57

33 = 3x

/3     /3

11 = x

Space

Answer:

x = 11

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Write equation

12x - 3x + 90 = 12x + 57

Step 2: Solve for x

  1. Combine like terms:                         9x + 90 = 12x + 57
  2. Subtract 9 on both sides:                 90 = 3x + 57
  3. Subtract 57 on both sides:               33 = 3x
  4. Divide 3 on both sides:                     11 = x
  5. Rewrite:                                              x = 11

Step 3: Check

Plug in x to verify it's a solution.

  1. Substitute:                         12(11) - 3(11) + 90 = 12(11) + 57
  2. Multiply:                             132 - 33 + 90 = 132 + 57
  3. Subtract:                            99 + 90 = 132 + 57
  4. Add:                                    189 = 189
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