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10x-2\left(5+3\right)=2\times 10+7
Multiply both sides of the equation by 10, the least common multiple of 5,10.
10x-2\times 8=2\times 10+7
Add 5 and 3 to get 8.
10x-16=2\times 10+7
Multiply -2 and 8 to get -16.
10x-16=20+7
Multiply 2 and 10 to get 20.
10x-16=27
Add 20 and 7 to get 27.
10x=27+16
Add 16 to both sides.
10x=43
Add 27 and 16 to get 43.
x=\frac{43}{10}
Divide both sides by 10.