Question

Q:-x / 2x - 2 = x+5 / 2x + 6
solve the following linear equation.

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Answer 1

Step-by-step explanation:

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Q:-x / 2x - 2 = x+5 / 2x + 6

solve the following linear equation.

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$⟹ \frac{x}{2x - 2} = \frac{x + 5}{2x + 6}$

$⟹x(2x + 6) = (2x - 2)(x + 5)$

$⟹2 {x}^{2} + 6x = 2x(x + 5) - 2(x + 5)$

$⟹2 {x}^{2} + 6x = 2 {x}^{2} + 10x - 2x - 10$

$⟹2 {x}^{2} + 6x = 2 {x}^{2} + 8x - 10$

$⟹8x - 6x - 10 = 0$

$⟹2x = 10$

$⟹x = \frac{10}{2} = 5$✓

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Answer 2

Answer:-

⟹$\frac{x}{2x - 2} = \frac{x + 5}{2x + 6}$

⟹x(2x + 6) = (2x - 2)(x + 5)

⟹2 x² + 6x = 2x(x + 5) - 2(x + 5)

⟹2 x² + 6x = 2 x²+ 10x - 2x - 10

⟹2 x² + 6x = 2x² + 8x - 10

⟹8x - 6x - 10 =0

⟹2x = 10

⟹$x = \frac{10}{2} = 5$