Which equation has solution x = -3?

Responses
A 2x - 7 = -12x - 7 = -1
B 3x + 8 = 13x + 8 = 1
C 12x + 8 = 101 2 x + 8 = 10
D 12(2x - 6) = -61 2 (2x - 6) = -6
E 12(4x - 8) = -21 2 (4x - 8) = -2

3 answers

To find out which equation has the solution x = -3, we will plug x = -3 into each equation and see which one balances (is true).

Starting with each option:

A. 2x - 7 = -1
Substituting x = -3 gives 2(-3) - 7 = -6 - 7 = -13, which does not equal -1.

B. 3x + 8 = 1
Substituting x = -3 gives 3(-3) + 8 = -9 + 8 = -1, which does not equal 1.

C. It seems to be a typo in the question where "12x + 8 = 101 2 x + 8 = 10" is written, but we assume that the equation is either 12x + 8 = 10 or something similar. If it's 12x + 8 = 10, plugging x = -3 into the equation gives 12(-3) + 8 = -36 + 8 = -28, which does not equal 10.

D. 12(2x - 6) = -6
Substituting x = -3 gives 12(2(-3) - 6) = 12(-6 - 6) = 12(-12) = -144, which does not equal -6.

E. 12(4x - 8) = -2
Substituting x = -3 gives 12(4(-3) - 8) = 12(-12 - 8) = 12(-20) = -240, which does not equal -2.

None of the above options seems to have the correct solution x = -3 with the way they are written. If the equations are incorrectly transcribed, please provide the correct equations to check against the solution x = -3.
pick one
It seems there was a misunderstanding in your original question, as none of the options provided were properly formatted, which made it difficult to determine which equation was correct. Since you've asked to pick one, I will choose an option and correct it so that the solution x = -3 satisfies it.

Let's correct option A:

A. The original was "2x - 7 = -12x - 7 = -1". We should probably ignore the repeated "-7 = " and see if we can adjust the equation to make x = -3 a solution:

Let's try 2x - 7 = -1. Plugging in x = -3:
2(-3) - 7 = -6 - 7 = -13.

This is not equal to -1, so let's make a new equation where x = -3 is a solution:

How about 2x + 1 = -5?

Plugging in x = -3:
2(-3) + 1 = -6 + 1 = -5.

This works out, so the modified equation is 2x + 1 = -5. Here, x = -3 is indeed the solution. However, this is not one of the options you provided, it's a corrected equation I've proposed based on the format of Option A. If you want to discuss one of the original options, please provide the correct format or clarify further.