22 4x3=x 9 Multiplying both sides by 3: 22 4x = 3 × (x 9) ⇒ 22 4x = 3x 27 Adding 27 on both sides: 22 + 27 4x = 3x 27 + 27 ⇒ 49 4x = 3x Addi ...

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Variable on Both Sides

Solve 22 - 4x...

Question

Solve $\frac{22 - 4 x}{3} = x - 9$

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Solution

$\frac{22 - 4 x}{3} = x - 9$
Multiplying both sides by 3:
$22 - 4 x = 3 \times (x - 9)$
⇒ $22 - 4 x = 3 x - 27$

Adding 27 on both sides:
22 + 27 - 4x = 3x - 27 + 27
⇒ 49 - 4x = 3x

Adding 4x on both sides:
$49 - 4 x + 4 x = 3 x + 4 x$
⇒ $49 = 7 x$

Dividing by 7 on both sides:
$\frac{49}{7} = \frac{7 x}{7}$
⇒ $x = 7$

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