Answered

(07.03)

An equation is shown below:

5(2x - 8) + 15 = -15

Write the steps you will use to solve the equation and explain each step.

Answer :

SPACEGO

Answer:

x = 1

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

Algebra I

  • Terms/Coefficients

Step-by-step explanation:

Step 1: Define

5(2x - 8) + 15 = -15

Step 2: Solve for x

  1. [Subtraction Property of Equality] Subtract 15 on both sides:                   5(2x - 8) = -30
  2. [Division Property of Equality] Divide 5 on both sides:                               2x - 8 = -6
  3. [Addition Property of Equality] Add 8 on both sides:                                 2x = 2
  4. [Division Property of Equality] Divide 2 on both sides:                                x = 1

Step 3: Check

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

  1. Substitute in x:                                                                                               5(2(1) - 8) + 15 = -15
  2. (Parenthesis) Multiply:                                                                                   5(2 - 8) + 15 = -15
  3. (Parenthesis) Subtract:                                                                                 5(-6) + 15 = -15
  4. Multiply:                                                                                                         -30 + 15 = -15
  5. Add:                                                                                                               -15 = -15

Here we see that -15 does indeed equal -15.

∴ x = 1 is the solution to the equation.

TREVIOUSMERRITTGO

Answer: x=1

Step-by-step explanation:

Let's solve your equation step-by-step.

5(2x−8)+15=−15

Step 1: Simplify both sides of the equation.

5(2x−8)+15=−15

(5)(2x)+(5)(−8)+15=−15(Distribute)

10x+−40+15=−15

(10x)+(−40+15)=−15(Combine Like Terms)

10x+−25=−15

10x−25=−15

Step 2: Add 25 to both sides.

10x−25+25=−15+25

10x=10

Step 3: Divide both sides by 10.

10x/10=10/10

x=1

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