The value of x is 0.5
The equation is given as:
(x -2)(x + 3) = (x - 2)(4 - x)
Divide both sides by x - 2
x + 3 = 4 - x
Evaluate the like terms
2x = 1
Divide by 2
x = 0.5
Hence, the value of x is 0.5
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