Question

To solve the equation, Lorie applies the distributive property, combines like terms, then applies the addition and subtraction properties of equality to isolate the variable term on one side of the equation and the constant term on the other side. What are the possible coefficients of x after Lorie has completed these steps? 10 (one-half x + 2) minus 5 = 3 (x minus 6) + 1

Answer 1

Answer:

- 16 and 16

Step-by-step explanation:

Given,

Considering the distributive property :

10 ( 1/2x + 2 ) -5 = 3 ( x - 6 ) + 1

10× 1/2x + 10×2 - 5 = 3x - 3×6 + 1

5x + 20-5 = 3x -18 + 1

5x + 15 = 3x - 17

Collecting of like terms

5x - 3x = -17 - 15

2x = - 32

X = - 32/2

X = - 16

Answer 2

Answer:

-16 and 16

Step-by-step explanation:

Applying the the distributive property

First step we open the bracket by multiplying , which is

10(1x÷2+2)-5 = 3(x-6)+1

10x÷2+20-5 = 3x- 18+1

Simplifying we have

5x +15 = 3x-17

Collecting like terms we have

5x-3x = -17-15

2x= -32

Dividing both sides by 2 we are going to have

x = -16 as the negative value of x

x = 16 as the positive value of x