# Chapter 1 - Section 1.1 - Linear Equations in One Variable - 1.1 Exercises: 66

x = 9

#### Work Step by Step

1. Given: $\frac{5 - x}{6} + \frac{5}{6}= \frac{x}{54}$ 2. Multiply by LCD (54): 54($\frac{5 - x}{6} + \frac{5}{6}) = (\frac{x}{54}$)54 3. Use distributive property to multiply: 9(5 - x) + 9(5) = x 45 - 9x + 45 = x 4. Add and subtract: -10x = -90 5. Divide: x = 9 6. Check: $\frac{5 - 9}{6} + \frac{5}{6}= \frac{9}{54}$ 1/6 = 1/6, so 9 is a solution of the equation.

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