### Home > CCA2 > Chapter 1 > Lesson 1.1.2 > Problem1-25

1-25.

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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. Homework Help ✎

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

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

Use the Distributive Property correctly and continue solving.

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

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

Result should be −57 = −57.