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10\times 14=x\times 35
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,10.
140=x\times 35
Multiply 10 and 14 to get 140.
x\times 35=140
Swap sides so that all variable terms are on the left hand side.
x=\frac{140}{35}
Divide both sides by 35.
x=4
Divide 140 by 35 to get 4.