Solve for x
x=\frac{15}{38}\approx 0.394736842
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2\left(6\times 3+1\right)x=3\left(2\times 2+1\right)
Multiply both sides of the equation by 6, the least common multiple of 3,2.
2\left(18+1\right)x=3\left(2\times 2+1\right)
Multiply 6 and 3 to get 18.
2\times 19x=3\left(2\times 2+1\right)
Add 18 and 1 to get 19.
38x=3\left(2\times 2+1\right)
Multiply 2 and 19 to get 38.
38x=3\left(4+1\right)
Multiply 2 and 2 to get 4.
38x=3\times 5
Add 4 and 1 to get 5.
38x=15
Multiply 3 and 5 to get 15.
x=\frac{15}{38}
Divide both sides by 38.
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