Question

Solve the equation 4/x-3=5/2x+3

Answer 1

equation
4 / (x - 3) = 5 / (2x + 3)
Cross multiply
4 (2x + 3) = 5(x - 3)
8x + 12 = 5x - 15
8x - 5x = - 15 - 12
3x = - 27
x = - 27 / 3
x = - 9

Answer 2

Answer:

$\tex x = -9$

Step-by-step explanation:

Given equation:

$\frac{4}{x-3}=\frac{5}{2x+3}$

$\implies 4\times (2x+3)=5 \times (x-3)$

$\implies 8x+12 = 5x-15$

$\implies 8x-5x = -15-12$

$\implies 3x=-27$

$\implies x = \frac{-27}{3}$

$\implies x = -9$

Therefore,

$\tex x = -9$

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