Question

solve 6x/8-2x+5/3=5/2
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Answer 1

Answer:

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Step-by-step explanation:

$\large \frac{6x}{8} - \frac{2x + 5}{3} = \frac{5}{2} \\ \\ \large \: taking \: \: lcm \\ \\ \large \frac{6x \times 3}{8 \times 3} - \frac{(2x + 5) \times 8}{3 \times 8} = \frac{5}{2} \\ \\ \large \frac{18x}{24} - \frac{(16x + 40)}{24} = \frac{5}{2} \\ \\ \large \frac{18x - 16x - 40}{24} = \frac{5}{2} \\ \\ \large \frac{2x - 40}{24} = \frac{5}{2} \\ \\ \large \: \: by \: \: cross \: \: multiplication \\ \\ \large2(2x - 40) = 5 \times 24 \\ \\ \large4x - 80 = 120 \\ \\ \large4x = 120 + 80 \\ \\ \large4x = 200 \\ \\ \large x = \frac{200}{4} \\ \\ \large \red{x = 50}$