Solve: 3(5x - 7) - 2(9x - 11) = 4(8x - 13) - 17 - Vidyadip

Question

Solve: $3(5x - 7) - 2(9x - 11) = 4(8x - 13) - 17$

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Answer

$3(5\text{x} - 7) - 2(9\text{x} - 11) = 4(8\text{x} - 13) -17$ $\Rightarrow 5\text{x} - 21 - 18\text{x} + 22 = 32\text{x} - 52-17$ $\Rightarrow15\text{x} -18\text{x} - 21 + 22 = 32\text{x} −69$ $\Rightarrow-3\text{x} +1 = 32\text{x} - 69$ $\Rightarrow1 + 69 = 32\text{x} + 3\text{x} $ $\Rightarrow 70 = 35\text{x}$ $\Rightarrow 35\text{x}= 70 $ $(\text{by} \ \text{transposition})$ $\Rightarrow\text{x}= \frac{70}{35}= 2$ $\therefore\text{x}=2$

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