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2\left(5x-9\right)+3x=60
Multiply both sides of the equation by 6, the least common multiple of 3,2.
10x-18+3x=60
Use the distributive property to multiply 2 by 5x-9.
13x-18=60
Combine 10x and 3x to get 13x.
13x=60+18
Add 18 to both sides.
13x=78
Add 60 and 18 to get 78.
x=\frac{78}{13}
Divide both sides by 13.
x=6
Divide 78 by 13 to get 6.