Predict the result
Chapter 5 connects algebraic expressions and equations.
Solve seven x plus five equals six x plus two.
Choose a side for the variable terms.

Set up the model
Subtract six x from both sides.
Then subtract five from both sides.

Work the example
The first step gives x plus five equals two.
The next step gives x equals negative three.
Both original sides equal negative sixteen when x is negative three.
The solution checks.

Check the result
Now solve twelve x plus eight equals six x plus two.
Take eight seconds to think before the answer appears.
[Eight-second silent pause to work; the answer remains hidden.]
Collecting terms gives six x equals negative six.
The solution is x equals negative one.

Interpret the result
Balanced operations and an original-equation check keep the reasoning sound.
Use the original task and check that your result fits its meaning.