CPM Homework Help : A2C Problem 1-26

Find the error in the solution below. Explain what the error is and solve the equation correctly. Show how to check your solution to be sure that it is correct.

$3(x−2)−2(x+7)=2x+17$
$3x−6−2x+14=2x+17$
$x+8=2x+17$
$−9=x$

Note: The stoplight icon to the right of a problem indicates that there is an error in the problem.

Hint:

Notice that the binomial $(x+7)$ is being multiplied by $−2$ .

More Help:

Use the distributive property correctly and continue solving.

Answer:

The error is in line $2$ .
It should be $−14$ not $+14$ .
$3x−6−2x−14=2x+17$
Continue solving to get $x=−37$ .

Checking 1:

Substitute $−37$ for $x$ in the original equation and simplify both sides to compare results .

Checking 2:

Result should be $−57=-57$ .