Respuesta :

Space

Answer:

x = -17/4

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

Step-by-step explanation:

Step 1: Define

Identify

3x + 5(2 + x) = 4x - 7

Step 2: Solve for x

  1. [Distributive Property] Distribute 5:                                                                 3x + 10 + 5x = 4x - 7
  2. [Addition] Combine like terms:                                                                        8x + 10 = 4x - 7
  3. [Subtraction Property of Equality] Subtract 4x on both sides:                      4x + 10 = -7
  4. [Subtraction Property of Equality] Subtract 10 on both sides:                       4x = -17
  5. [Division Property of Equality] Divide 4 on both sides:                                  x = -17/4
agentsecret991

Answer:

x=[tex]\frac{-17}{4}[/tex]

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x+5(2+x)=4x−7

3x+(5)(2)+(5)(x)=4x+−7(Distribute)

3x+10+5x=4x+−7

(3x+5x)+(10)=4x−7(Combine Like Terms)

8x+10=4x−7

8x+10=4x−7

Step 2: Subtract 4x from both sides.

8x+10−4x=4x−7−4x

4x+10=−7

Step 3: Subtract 10 from both sides.

4x+10−10=−7−10

4x=−17

Step 4: Divide both sides by 4.

[tex]\frac{4x}{4}[/tex]=[tex]\frac{-17}{4}[/tex]

x=[tex]\frac{-17}{4}[/tex]