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.

Equation

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

Equation

Equation

Group the similar terms and independents, and then add:

Equation

Equation

Remove parentheses:

ecuación

Group the terms and add:

ecuación

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

Equation

Equation

Remove denominators by finding the least common multiple.

Lowest Common Multiple

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

Equation

Remove parentheses, group and add the similar terms:

Equation

Divide both sides by −2:

Equation

Equation

Remove parentheses and simplify the fractions:

Equation

Remove denominators, group and add the similar terms:

Equation

Equation

Remove brackets:

Equation

Remove parentheses:

Equation

Remove denominators:

Equation

Remove parentheses:

Equation

Group terms:

Equation

Add:

Equation

Divide the two members by −9:

Solution