Question

How many solutions are there to the equation below?

Answer 1

Hi there! :)

Answer:

B. 0 solutions.

Step-by-step 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.

Answer 2

Answer:

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

Step-by-step 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.