1. Simplifying Equations Before Solving
Part 1: Equations with Fractions
Example (1) : Solve for x.
multiplying by the lowest common denominator
x + 4 = 10
x + 4 – 4 = 10 – 4
x = 6

2. Example (2) Solve for x. 4x + 3 = 7 4x + 3 – 3 = 7 – 3 4x = 4 x = 1
The lowest common denominator is 6.
4x + 3 = 7
4x + 3 – 3 = 7 – 3
4x = 4
x = 1

3. Example (3) Solve for w. The lowest common denominator is 15. 6w = 55

4. Example (4) Solve for s. 2(3s + 1) + 5 = 10 6s + 2 + 5 = 10
expand and simplify first
6s = 10
6s + 7 = 10
6s + 7 – 7 = 10 – 7
6s = 3

5. k = 3 Example (5) Solve for k. 3k + 1 + 2k – 4 = 12
simplify first
3k + 2k + 1– 4 = 12
group like terms
add like terms
5k – 3 = 12
5k – =
5k = 15
k = 3

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