An equation is shown below: 8x + 2(x - 7) = 7x + 3x - 14 part a: solve the equation and write the number of solutions. show all the steps. part b: name one property you used to solve this equation.

A) there are infinite solutions.

B) distributive property of multiplication

Step-by-step explanation:

Given the equation:

8x + 2(x - 7) = 7x + 3x - 14

To solve this, first apply the distributive property of multiplication,

8x + 2x - 14 = 7x + 3x - 14

Then, combine the similar terms,

8x + 2x -7x -3x =  -14 + 14

0 = 0

This means that any value of x satisfy the equation, that is, there are infinite solutions.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

$4

step-by-step explanation:

$30×5=$150

$150 minus $130=$20

$20÷5=$4.

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