HELP ME PLEASE

Step-by-step explanation:

To find the value of x you must first set up an equation to solve for x. We are told that Hannah has written 142 more lines than Sam so we can make an equation by subtracting Sam's total from Hannah's total.

(7x + 78) - (6x + 73) = 142

Hannah - Sam = Difference

We then begin to solve. First we must distribute the subtraction to all parts of Sam's equation, creating a new equation of:

7x + 78 - 6x - 73 = 142

Then put like terms together

7x - 6x + 78 - 73 = 142

Condense the like terms

7x - 6x = x

78-73 = 5

x + 5 = 142

Then isolate the x by subtracting the 5.

x + 5 (-5)= 142 (-5)

x = 137

Then plug it back into the equation to check and see if your x is correct

(7x + 78) - (6x + 73) = 142

(7(137) + 78) - (6(137) + 73) = 142

(959 + 78) - (822 + 73) = 142

(1037) - (895) = 142

1037 - 895 = 142

a

step-by-step explanation: