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Question 7 (Essay Worth 5 points) (7.03) An equation is shown below: 5(2x - 8) + 15 = -15 Write the steps you will use to solve the equation and explain each step.

1 Answer

8 votes

Answer:

x = 1

Explanation:

The method that is used is distributive property.

What is Distributive Property?

The property that terms in an expression may be expanded in a particular way to form an equivalent expression.

Steps:

Simplifying

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

Reorder the terms:

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

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

(-40 + 10x) + 15 = -15

Reorder the terms:

-40 + 15 + 10x = -15

Combine like terms: -40 + 15 = -25

-25 + 10x = -15

Solving

-25 + 10x = -15

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '25' to each side of the equation.

-25 + 25 + 10x = -15 + 25

Combine like terms: -25 + 25 = 0

0 + 10x = -15 + 25

10x = -15 + 25

Combine like terms: -15 + 25 = 10

10x = 10

Divide each side by '10'.

x = 1

Simplifying

x = 1

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