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2x=7\left(x-5\right)
Multiply both sides of the equation by 14, the least common multiple of 7,2.
2x=7x-35
Use the distributive property to multiply 7 by x-5.
2x-7x=-35
Subtract 7x from both sides.
-5x=-35
Combine 2x and -7x to get -5x.
x=\frac{-35}{-5}
Divide both sides by -5.
x=7
Divide -35 by -5 to get 7.