Solving two-step linear equations: ax + b = c, x/a + b = c

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Intros
Lessons
1. How to turn a word problem into an equation?
• ex. 1: "revenue" problem
• ex. 2: "area" problem
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Examples
Lessons
1. Solve.
1. $\frac{4}{5} + \frac{5}{4}x = \frac{1}{3}$
2. $\frac{3}{4} + 2x = 5\frac{1}{3}$
3. $\frac{2}{3} - \frac{x}{2} = \frac{4}{7}$
4. $- 3\frac{3}{4} = - 6\frac{1}{4} + \frac{1}{8}x$
2. Solve.
1. $- 0.05 - \frac{x}{{2.6}} = - 0.03$
2. $\frac{x}{{ - 2.14}} + 0.86 = 6.32$
3. Solve.
1. $3.07 = 0.3x - 4.6$
2. $\frac{7}{9} = \frac{7}{8} - \frac{x}{9}$
3. $- 1.8 = 4.5 + \frac{x}{{2.3}}$
4. $3\frac{1}{3} + 2\frac{1}{9}v = - \frac{4}{9}$
4. The number of hours Peter exercised in May is 3.5 hours less than one fourth of the number of hours John exercised in the same month. Peter had 15.8 hours of exercise in May. How many hours of exercise did John have in May?
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