Solve for x
x=50
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5\left(2x-1\right)=9\left(x+5\right)
Variable x cannot be equal to \frac{1}{2} since division by zero is not defined. Multiply both sides of the equation by 9\left(2x-1\right), the least common multiple of 9,2x-1.
10x-5=9\left(x+5\right)
Use the distributive property to multiply 5 by 2x-1.
10x-5=9x+45
Use the distributive property to multiply 9 by x+5.
10x-5-9x=45
Subtract 9x from both sides.
x-5=45
Combine 10x and -9x to get x.
x=45+5
Add 5 to both sides.
x=50
Add 45 and 5 to get 50.
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