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Hello how are you today. Question 2(×+-5)+×=×+(-6) ​

2 Answers

6 votes

Answer:

x=2 ( see Image below)

Explanation:

cancel equal terms on both sides of the equation

2(x-5)=-6

move the constant to the right -hand side and change its sign

2x= -6 +10

Calculate the sum

2x=4

divide both sides of the equation by 2

x=2

Hello how are you today. Question 2(×+-5)+×=×+(-6) ​-example-1
User Regnarg
by
5.3k points
3 votes

Answer:

x = 2

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

Distributive Property

Equality Properties

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

Algebra I

  • Terms/Coefficients

Explanation:

Step 1: Define

Identify

2(x + -5) + x = x + (-6)

Step 2: Solve for x

  1. [Distributive Property] Distribute 2: 2x - 10 + x = x - 6
  2. [Addition] Combine like terms (x): 3x - 10 = x - 6
  3. [Subtraction Property of Equality] Subtract x on both sides: 2x - 10 = -6
  4. [Addition Property of Equality] Add 10 on both sides: 2x = 4
  5. [Division Property of Equality] Divide 2 on both sides: x = 2
User Sfx
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5.0k points