# Solving Equations

In general, to** solve a linear equation ** the following **steps** must be followed:

1.** Remove parentheses. **

2. **Remove denominators. **

3. **Group the terms of x in one member and the independent terms in the other. **

4. **Reduce similar terms. **

5. **Solve the unknown. **

If the two members are divided by two, an equivalent equation is obtained:

Group the similar terms and independents, and then add:

Remove parentheses:

Group the terms and add:

If both sides of the equation are divided by 3, an equivalent equation is obtained:

Remove denominators by finding the least common multiple.

The common denominator divides each of the denominators, multiplying the quotient obtained by the corresponding numerator.

Remove parentheses, group and add the similar terms:

Divide both sides by −2:

Remove parentheses and simplify the fractions:

Remove denominators, group and add the similar terms:

Remove brackets:

Remove parentheses:

Remove denominators:

Remove parentheses:

Group terms:

Add:

Divide the two members by −9: