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