Solve for x
x = \frac{17}{6} = 2\frac{5}{6} \approx 2.833333333
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3\left(2\times 2+1\right)+6x=2\left(5\times 3+1\right)
Multiply both sides of the equation by 6, the least common multiple of 2,3.
3\left(4+1\right)+6x=2\left(5\times 3+1\right)
Multiply 2 and 2 to get 4.
3\times 5+6x=2\left(5\times 3+1\right)
Add 4 and 1 to get 5.
15+6x=2\left(5\times 3+1\right)
Multiply 3 and 5 to get 15.
15+6x=2\left(15+1\right)
Multiply 5 and 3 to get 15.
15+6x=2\times 16
Add 15 and 1 to get 16.
15+6x=32
Multiply 2 and 16 to get 32.
6x=32-15
Subtract 15 from both sides.
6x=17
Subtract 15 from 32 to get 17.
x=\frac{17}{6}
Divide both sides by 6.
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