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x/5 = x/3 + 7/5
combine the terms on the right side using the common denominator 15:
x/5 = 5x/15 + 21/15
x/5 = (5x + 21)/15
multiply the top and bottom of the left fraction by 3 (this does not change the value), and then multiply both sides of the equation by 15 to cancel the denominator:
3x/15 = (5x + 21)/15
3x = 5x + 21
move all of the x's to left side:
-2x = 21
divide both sides by -2:
x = -21/2
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