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5/2x+15/2=15
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5/2x + 15/2 = 15 times 2 to all = ?
\[\frac{5}{2x} + \frac{15}{2} = 15\] \[\frac{5}{2x} = 15 - \frac{15}{2}\] \[\frac{5}{2x} = \frac{30}{2} - \frac{15}{2}\] \[\frac{5}{2x} = \frac{15}{2}\] \[5 = \frac{15}{2} \times 2x\] \[5 = 15x\] \[\frac{5}{15} = x\] \[\frac{1}{3} = x\]
A little shorter method, if you prefer....\[\frac{5}{2x} + \frac{15}{2} = 15 \implies 5+15x=30x \implies 5=15x \implies x=\frac{1}{3}\]
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