Solve for x:
$8 x + 4 = 3 (x - 1) + 7$

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Solution

$8 x + 4 = 3 (x - 1) + 7$
$\Rightarrow 8 x + 4 = 3 x - 3 + 7$
$\Rightarrow 8 x - 3 x = - 3 + 7 - 4$
$\Rightarrow 5 x = 0$
$\Rightarrow x = \frac{0}{5} = 0$
To check:
$8 x + 4 = 3 (x - 1) + 7$
$\Rightarrow 8 \times 0 + 4 = 3 (0 - 1) + 7$
$\Rightarrow 0 + 4 = 3 \times (- 1) + 7$
$\Rightarrow 4 = - 3 + 7$
$\Rightarrow$ 4 = 4
$\Rightarrow L . H . S = R . H . S$
Hence, it is correct.

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