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:
![]()