Show your work given the equation 5 + x -12 = 2x - 7. part a. solve the equation 5 + x - 12 = 2x - 7. in your final answer, be sure to state the solution and include all of your work. part b. use the values x = -0.5,0,1 to prove your solution to the equation 5 + x - 12 = 2x - 7 . in your final answer, include all of your calculations.

Starting with:     5 + x - 12 = 2x - 7    5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)    5 - 12 = x - 7 (combine and cancel x's from both sides)    5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)    0 = x (add numbers together on both sides)        so in order for the equation to be true, x must be 0.    trying x = -0.5    5 + x - 12 = 2x - 7 (original equation)    5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)    5 + -0.5 - 12 = -1 - 7 (did multiplication)    -7.5 = -8 (did addition on both sides)        since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.    trying x = 0    5 + x - 12 = 2x - 7 (original equation)    5 + 0 - 12 = 2(0) - 7 (plug in value of x)    5 + 0 - 12 = 0 - 7 (did multiplication)    -7 = -7 (did addition on both sides)        since -7 equals -7, that demonstrates that the value of 0 for x is correct.    trying x = 1    5 + x - 12 = 2x - 7 (original equation)    5 + 1 - 12 = 2(1) - 7 (plug in value of x)    5 + 1 - 12 = 2 - 7 (did multiplication)    -6 = -5 (did addition on both sides)        since -6 is obviously not equal to -5, the value of 1 for x is wrong.