Fillin the missing numbers and propertes to solve and justiy the equation below. *+4-3x=x *+4-3x=X Given 4 3 X Distributive property X X-3x-4=x 4x 4=X Combine like terms 4=5x 4/5=X X- 4/5

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Solving the Equation: Fill in the Missing Numbers and Properties**

**Equation:**

\[
-(x + 4) - 3x = x
\]

**Steps:**

1. **Given:**

   \[
   -(x + 4) - 3x = x
   \]

2. **Distributive Property:**

   \[
   -x - 4 - 3x = x
   \]

3. **Combine Like Terms:**

   \[
   -x - 3x - 4 = x
   \]

   \[
   -4x - 4 = x
   \]

4. **Rearrange:**

   \[
   -4 = 5x
   \]

5. **Solve for x:**

   \[
   \frac{-4}{5} = x
   \]

   \[
   x = \frac{-4}{5}
   \]
Transcribed Image Text:**Solving the Equation: Fill in the Missing Numbers and Properties** **Equation:** \[ -(x + 4) - 3x = x \] **Steps:** 1. **Given:** \[ -(x + 4) - 3x = x \] 2. **Distributive Property:** \[ -x - 4 - 3x = x \] 3. **Combine Like Terms:** \[ -x - 3x - 4 = x \] \[ -4x - 4 = x \] 4. **Rearrange:** \[ -4 = 5x \] 5. **Solve for x:** \[ \frac{-4}{5} = x \] \[ x = \frac{-4}{5} \]
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