Solve for x
x=\frac{15}{37}\approx 0.405405405
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60\times \frac{2}{3}x-3\left(x+1\right)=12
Multiply both sides of the equation by 12, the least common multiple of 3,4.
\frac{60\times 2}{3}x-3\left(x+1\right)=12
Express 60\times \frac{2}{3} as a single fraction.
\frac{120}{3}x-3\left(x+1\right)=12
Multiply 60 and 2 to get 120.
40x-3\left(x+1\right)=12
Divide 120 by 3 to get 40.
40x-3x-3=12
Use the distributive property to multiply -3 by x+1.
37x-3=12
Combine 40x and -3x to get 37x.
37x=12+3
Add 3 to both sides.
37x=15
Add 12 and 3 to get 15.
x=\frac{15}{37}
Divide both sides by 37.
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