3 years ago

5x-3=3x+8 ~~~~ 2 X=? The lines a fraction

1 answer:

3 0

$\dfrac{5x-3}{2}=3x+8\ \ \ \ \ |multiply\ both\ sides\ by\ 2\\\\5x-3=6x+16\ \ \ \ |add\ 3\ to\ both\ sides\\\\5x=6x+19\ \ \ \ |subtract\ 6x\ from\ both\ sides\\\\-x=19\ \ \ \ |change\ signs\\\\\boxed{x=-19}$

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zubka84 [21]

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3 years ago

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Lilit [14]

$3 {}^{4x - 5} = ( \frac{1}{27} ) {}^{2x + 10} \\ note \: \: that = \\ ( \frac{1}{27} ) = ( \frac{1}{3 {}^{3} } ) = 3 {}^{ - 3} \\ \\ 3 {}^{4x - 5} = (3 {}^{ - 3} ) {}^{2x + 10} \\ 3 {}^{4x + 5} = 3 {}^{ - 3(2x + 10)} \\ equal \: \: bases = > equal \: exponents$