(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.

x = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

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

Step 2: Solve for x

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

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

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

∴ x = 1 is the solution to the equation.

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