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2\left(10\times 15+4\right)+2\left(9\times 15+1\right)=8\times 30+1
Multiply both sides of the equation by 30, the least common multiple of 15,30.
2\left(150+4\right)+2\left(9\times 15+1\right)=8\times 30+1
Multiply 10 and 15 to get 150.
2\times 154+2\left(9\times 15+1\right)=8\times 30+1
Add 150 and 4 to get 154.
308+2\left(9\times 15+1\right)=8\times 30+1
Multiply 2 and 154 to get 308.
308+2\left(135+1\right)=8\times 30+1
Multiply 9 and 15 to get 135.
308+2\times 136=8\times 30+1
Add 135 and 1 to get 136.
308+272=8\times 30+1
Multiply 2 and 136 to get 272.
580=8\times 30+1
Add 308 and 272 to get 580.
580=240+1
Multiply 8 and 30 to get 240.
580=241
Add 240 and 1 to get 241.
\text{false}
Compare 580 and 241.
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