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one way to solve an equation in this format, "a/b = c/d", is to multiply both sides by "b"and by "d". You're effectively "cross multiplying" the fractions:

(2x + 1) / 3x = (x - 1) / 5x ∴(2x + 1)(5x) = (x - 1)(3x) ∴10x2 + 5x = 3x2 - 3x

You can then factor an "x" out of both sides

∴10x + 5 = 3x - 3

And rearrange to solve:

∴10x - 3x = -3 -5 ∴7x = -8

∴x = -8/7

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Q: How do you solve 2xplus 1 over 3x equals xminus 1 over 5x?
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