7. The steps below show Cam's work in solving an equation. Circle the line where he makes a mistake. Then, find the correct solution to the equation.

Error was at the fourth line: 12 = 16x

Correct solution: x = ½

Step-by-step explanation:

Let's solve the equation step by step to find the correct solution, and also, to find out at which line Cam made a mistake.

10 - 2x = 19x + 2 - 5x (given)

10 - 2x = 19x - 5x + 2

10 - 2x = 14x + 2

Add 2x to both sides

10 - 2x + 2x = 14x + 2 + 2x

10 = 14x + 2x + 2

10 = 16x + 2

Subtract 2 from both sides

10 - 2 = 16x + 2 - 2

8 = 16x (this is where Cam made an error, at the fourth line. He wrote: 12 = 16x. It seems Can only subtracted 2 from the right, then added 2 to the left. Subtraction property of equality was not properly done.)

Proceeding further with our calculation, we would divide both sides by 16

8/16 = 16x/16

½ = x

x = ½.

both equations and proportions are better.