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Linear Equation in One Variable

Solve: 73x ...

Question

Solve: $7 (3 x - 1) - 6 (2 x + 3) = 8 (x - 2) + 1$

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Solution

To solve: $7 (3 x - 1) - 6 (2 x + 3) = 8 (x - 2) + 1$

Now,
$7 (3 x - 1) - 6 (2 x + 3) = 8 (x - 2) + 1$
$\Rightarrow 21 x - 7 - 12 x - 18 = 8 x - 16 + 1$
$\Rightarrow 9 x - 25 = 8 x - 15$
$\Rightarrow 9 x - 8 x = - 15 + 25$
$\Rightarrow x = 10$

Hence, the solution is $x = 10$

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