Solve for x
x = \frac{49}{3} = 16\frac{1}{3} \approx 16.333333333
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4\left(2x-1\right)=5\left(x+9\right)
Variable x cannot be equal to -9 since division by zero is not defined. Multiply both sides of the equation by 4\left(x+9\right), the least common multiple of x+9,4.
8x-4=5\left(x+9\right)
Use the distributive property to multiply 4 by 2x-1.
8x-4=5x+45
Use the distributive property to multiply 5 by x+9.
8x-4-5x=45
Subtract 5x from both sides.
3x-4=45
Combine 8x and -5x to get 3x.
3x=45+4
Add 4 to both sides.
3x=49
Add 45 and 4 to get 49.
x=\frac{49}{3}
Divide both sides by 3.
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