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15x-3\left(7\times 5+3\right)=8\times 15+7
Multiply both sides of the equation by 15, the least common multiple of 5,15.
15x-3\left(35+3\right)=8\times 15+7
Multiply 7 and 5 to get 35.
15x-3\times 38=8\times 15+7
Add 35 and 3 to get 38.
15x-114=8\times 15+7
Multiply -3 and 38 to get -114.
15x-114=120+7
Multiply 8 and 15 to get 120.
15x-114=127
Add 120 and 7 to get 127.
15x=127+114
Add 114 to both sides.
15x=241
Add 127 and 114 to get 241.
x=\frac{241}{15}
Divide both sides by 15.