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7x+140=175-5\times 2x
Multiply both sides of the equation by 35, the least common multiple of 5,7.
7x+140=175-10x
Multiply -5 and 2 to get -10.
7x+140+10x=175
Add 10x to both sides.
17x+140=175
Combine 7x and 10x to get 17x.
17x=175-140
Subtract 140 from both sides.
17x=35
Subtract 140 from 175 to get 35.
x=\frac{35}{17}
Divide both sides by 17.