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11\left(2x+3\right)=3\left(3x-15\right)
Multiply both sides of the equation by 33, the least common multiple of 3,11.
22x+33=3\left(3x-15\right)
Use the distributive property to multiply 11 by 2x+3.
22x+33=9x-45
Use the distributive property to multiply 3 by 3x-15.
22x+33-9x=-45
Subtract 9x from both sides.
13x+33=-45
Combine 22x and -9x to get 13x.
13x=-45-33
Subtract 33 from both sides.
13x=-78
Subtract 33 from -45 to get -78.
x=\frac{-78}{13}
Divide both sides by 13.
x=-6
Divide -78 by 13 to get -6.