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16 votes
Does anyone know the answer to -8=16x + 9

User Ali Tamoor
by
6.5k points

1 Answer

5 votes

Answer:

x = -17/16

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

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

Explanation:

Step 1: Define

-8 = 16x + 9

Step 2: Solve for x

  1. [Subtraction Property of Equality] Subtract 9 on both sides: -17 = 16x
  2. [Division Property of Equality] Divide 16 on both sides: -17/16 = x
  3. Rearrange/Rewrite: x = -17/16

Step 3: Check

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

  1. Substitute in x: -8 = 16(-17/16) + 9
  2. Multiply: -8 = -17 + 9
  3. Add: -8 = -8

Here we see that -8 does indeed equal -8.

∴ x = -17/16 is the solution to the equation.

User Perplexed
by
6.2k points
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