8x+4=3(x 1)+7⇒ 8x+4=3x 3+7⇒ 8x 3x=4 4 [Since, applied the transformation rules]⇒ 5x=0⇒ x=0/5⇒ x=0Therefore, the solution of 8x+4=3(x 1)+7 is x=0. ...

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Solving Equations with Variables on Both Sides

Solve:8x+4=3x...

Question

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

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Solution

$8 x + 4 = 3 (x - 1) + 7$
$\Rightarrow 8 x + 4 = 3 x - 3 + 7$
$\Rightarrow 8 x - 3 x = 4 - 4$ [Since, applied the transformation rules]
$\Rightarrow 5 x = 0$
$\Rightarrow x = \frac{0}{5}$
$\Rightarrow x = 0$
Therefore, the solution of $8 x + 4 = 3 (x - 1) + 7$ is $x = 0$ .

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