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7\left(1\times 5+7\right)=5\left(x-2\right)
Multiply both sides of the equation by 35, the least common multiple of 5,7.
7\left(5+7\right)=5\left(x-2\right)
Multiply 1 and 5 to get 5.
7\times 12=5\left(x-2\right)
Add 5 and 7 to get 12.
84=5\left(x-2\right)
Multiply 7 and 12 to get 84.
84=5x-10
Use the distributive property to multiply 5 by x-2.
5x-10=84
Swap sides so that all variable terms are on the left hand side.
5x=84+10
Add 10 to both sides.
5x=94
Add 84 and 10 to get 94.
x=\frac{94}{5}
Divide both sides by 5.