Solve for x
x = \frac{72}{7} = 10\frac{2}{7} \approx 10.285714286
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3\left(24-x\right)=4x
Multiply both sides of the equation by 600, the least common multiple of 200,150.
72-3x=4x
Use the distributive property to multiply 3 by 24-x.
72-3x-4x=0
Subtract 4x from both sides.
72-7x=0
Combine -3x and -4x to get -7x.
-7x=-72
Subtract 72 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-72}{-7}
Divide both sides by -7.
x=\frac{72}{7}
Fraction \frac{-72}{-7} can be simplified to \frac{72}{7} by removing the negative sign from both the numerator and the denominator.
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