Lin solved the equation 8(x−3)+7=2x(4−17)
incorrectly. Find the errors in her solution. What should her answer have been?

Lin's solution:

8(x−3)+7=2x(4−17)
8(x−3)+7=2x(13)
8x−24+7=26x
8x−17=26x
−17=34x
−12=x

x=1/2

she was wrong, it's supposed to be

Step-by-step explanation: 8(x−3)+7=2x(4−17)

Step 1: Simplify both sides of the equation.

8(x−3)+7=2x(4−17)

(8)(x)+(8)(−3)+7=2x(4−17)(Distribute)

8x+−24+7=−26x

(8x)+(−24+7)=−26x(Combine Like Terms)

8x+−17=−26x

8x−17=−26x

Step 2: Add 26x to both sides.

8x−17+26x=−26x+26x

34x−17=0

Step 3: Add 17 to both sides.

34x−17+17=0+17

34x=17

Step 4: Divide both sides by 34.

34x/34=17/34 x=1/2

it has the same slope and a different y-intercept

hope this : )

step-by-step explanation: