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### Section 2.2 : Linear Equations

Solve each of the following equations and check your answer.

1. $$4x - 7\left( {2 - x} \right) = 3x + 2$$ Solution
2. $$2\left( {w + 3} \right) - 10 = 6\left( {32 - 3w} \right)$$ Solution
3. $$\displaystyle \frac{{4 - 2z}}{3} = \frac{3}{4} - \frac{{5z}}{6}$$ Solution
4. $$\displaystyle \frac{{4t}}{{{t^2} - 25}} = \frac{1}{{5 - t}}$$ Solution
5. $$\displaystyle \frac{{3y + 4}}{{y - 1}} = 2 + \frac{7}{{y - 1}}$$ Solution
6. $$\displaystyle \frac{{5x}}{{3x - 3}} + \frac{6}{{x + 2}} = \frac{5}{3}$$ Solution