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3\times 3x-5\left(x-2\right)=30
Multiply both sides of the equation by 15, the least common multiple of 5,3.
9x-5\left(x-2\right)=30
Multiply 3 and 3 to get 9.
9x-5x+10=30
Use the distributive property to multiply -5 by x-2.
4x+10=30
Combine 9x and -5x to get 4x.
4x=30-10
Subtract 10 from both sides.
4x=20
Subtract 10 from 30 to get 20.
x=\frac{20}{4}
Divide both sides by 4.
x=5
Divide 20 by 4 to get 5.