Solve for x
x=-\frac{3}{4}=-0.75
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5\left(x-24\right)=9\left(x-13\right)
Variable x cannot be equal to 24 since division by zero is not defined. Multiply both sides of the equation by 9\left(x-24\right), the least common multiple of 9,x-24.
5x-120=9\left(x-13\right)
Use the distributive property to multiply 5 by x-24.
5x-120=9x-117
Use the distributive property to multiply 9 by x-13.
5x-120-9x=-117
Subtract 9x from both sides.
-4x-120=-117
Combine 5x and -9x to get -4x.
-4x=-117+120
Add 120 to both sides.
-4x=3
Add -117 and 120 to get 3.
x=\frac{3}{-4}
Divide both sides by -4.
x=-\frac{3}{4}
Fraction \frac{3}{-4} can be rewritten as -\frac{3}{4} by extracting the negative sign.
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