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10+3\left(x-4\right)=2
Multiply both sides of the equation by 15, the least common multiple of 3,5,15.
10+3x-12=2
Use the distributive property to multiply 3 by x-4.
-2+3x=2
Subtract 12 from 10 to get -2.
3x=2+2
Add 2 to both sides.
3x=4
Add 2 and 2 to get 4.
x=\frac{4}{3}
Divide both sides by 3.