Question

In what step is there first an error. Please explain the error and how to correctly work the problem.

Given: 2(10-13x)+9x=-34x+60
Step 1: 17x=-34x+40
Step 2: 17x=-34x+40
Step 3: 51x = 40
Step 4: x=40/51
(This is a LOT of points please be thorough)

Answer 1

Step 1 is wrong.

Explanation:

Given:
`2(10-13x)+9x=-34x+60`

Solving this we get;

`20-26x+9x=-34x+60`

=>
`20-17x=-34x+60`

=>
`-17x=-34x+60-20`

=>
`-17x=-34x+40`

Step 1:
`17x=-34x+40`

So, this is wrong.

Step 2:
`17x=-34x+40`

Step 3:
`51x = 40`

Step 4:
`x=40/51`

Hence, Step 1 is wrong.

Answer 2

2(10-13x) +9x = -34x +60

Distributive property:

20 -26x +9x = -34x +60

Simplify:

20 -17x = -34x +60

Subtract 20 from both sides:

-17x = -34x -40

The error is in step 1, the 17x should be -17x