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2x\left(8\times 3+1\right)=16\times 6+5
Multiply both sides of the equation by 6, the least common multiple of 3,6.
2x\left(24+1\right)=16\times 6+5
Multiply 8 and 3 to get 24.
2x\times 25=16\times 6+5
Add 24 and 1 to get 25.
50x=16\times 6+5
Multiply 2 and 25 to get 50.
50x=96+5
Multiply 16 and 6 to get 96.
50x=101
Add 96 and 5 to get 101.
x=\frac{101}{50}
Divide both sides by 50.