Question

7(x-1) - 2 = 180

all steps shown, and if u want write a proof column but pls hellpppp doing a midterm and i literally forgot all i know

Answer 1

Sure, I can help you solve the equation step by step!

7(x-1) - 2 = 180

First, we can simplify the left side by distributing the 7:

7x - 7 - 2 = 180

Simplifying further, we can combine like terms:

7x - 9 = 180

To isolate the variable, we can add 9 to both sides of the equation:

7x - 9 + 9 = 180 + 9

Simplifying:

7x = 189

Finally, we can solve for x by dividing both sides by 7:

x = 27

Therefore, the solution to the equation 7(x-1) - 2 = 180 is x = 27.

Proof:

To check our solution, we can substitute x = 27 back into the original equation and see if both sides are equal:

7(x-1) - 2 = 180

7(27-1) - 2 = 180

7(26) - 2 = 180

182 - 2 = 180

180 = 180

Since both sides are equal, we have verified that x = 27 is the correct solution.

I Hope This Helps!