Solve the equation. (See Examples 1–6.)3(k − 2) − 6 = 4k − (3k − 1)Example 1Solve the equa...

Solve the equation. (See Examples 1–6.)

3(k − 2) − 6 = 4k − (3k − 1)

Example 1

Solve the equation 5x − 3 = 12.

Solution Using the first property of equality, add 3 to both sides. This isolates the term containing the variable on one side of the equation:

Now  arrange for the coefficient of x to be 1 by using the second property of equality:

The solution of the original equation, 5x − 3 = 12, is 3. Check the solution by substituting 3 for x in the original equation.