Solve for x
x=6
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11\left(2x+3\right)=5\left(4x+9\right)
Multiply both sides of the equation by 55, the least common multiple of 5,11.
22x+33=5\left(4x+9\right)
Use the distributive property to multiply 11 by 2x+3.
22x+33=20x+45
Use the distributive property to multiply 5 by 4x+9.
22x+33-20x=45
Subtract 20x from both sides.
2x+33=45
Combine 22x and -20x to get 2x.
2x=45-33
Subtract 33 from both sides.
2x=12
Subtract 33 from 45 to get 12.
x=\frac{12}{2}
Divide both sides by 2.
x=6
Divide 12 by 2 to get 6.
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