To solve the equation:
4/(7x - 3) = 5/(9x + 2)
First, cross multiply both sides of the equation:
4(9x + 2) = 5(7x - 3)
Expand each side:
36x + 8 = 35x - 15
Next, get all the x terms on one side of the equation by subtracting 35x from both sides:
36x - 35x + 8 = -15
Combine like terms:
x + 8 = -15
Next, isolate x by subtracting 8 from both sides:
x + 8 - 8 = -15 - 8
Simplify:
x = -23
Thus, the solution to the equation is x = -23.
4 over 7x - 3 = 5 over 9x + 2
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