Question

How many solutions are there to the equation below?

7(x + 2) = 7x-10
O A. Infinitely many
O B. o
O c. 1

Answer 1

`\boxed{\sf B. \ 0}`

Explanation:

`\sf 7(x + 2) = 7x-10`

Expand brackets.

`\sf 7x+14 = 7x-10`

Subtract 7x and 14 from both sides.

`\sf 7x+14 -7x-14= 7x-10-7x-14`

`\sf 0=-24`

There are 0 solutions.

Answer 2

Hi there! :)

Answer:

B. 0 solutions.

Explanation:

Given the equation 7(x + 2) = 7x - 10

Simplify:

7(x + 2) = 7x - 10

Distribute the 7 with the terms inside of the parenthesis:

7x + 14 = 7x - 10

Subtract "7x" and 14 from both sides:

7x - 7x = -10 - 14

0 ≠ - 24. The equation has no solutions.