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8x-\left(5\times 8+7\right)=2\left(2\times 4+3\right)
Multiply both sides of the equation by 8, the least common multiple of 8,4.
8x-\left(40+7\right)=2\left(2\times 4+3\right)
Multiply 5 and 8 to get 40.
8x-47=2\left(2\times 4+3\right)
Add 40 and 7 to get 47.
8x-47=2\left(8+3\right)
Multiply 2 and 4 to get 8.
8x-47=2\times 11
Add 8 and 3 to get 11.
8x-47=22
Multiply 2 and 11 to get 22.
8x=22+47
Add 47 to both sides.
8x=69
Add 22 and 47 to get 69.
x=\frac{69}{8}
Divide both sides by 8.