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10\times 2+2\times 7=17x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 10x, the least common multiple of x,5x,10.
20+14=17x
Do the multiplications.
34=17x
Add 20 and 14 to get 34.
17x=34
Swap sides so that all variable terms are on the left hand side.
x=\frac{34}{17}
Divide both sides by 17.
x=2
Divide 34 by 17 to get 2.