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x\times \frac{1\times 2+1}{2}=12\times 78
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 12x, the least common multiple of 12,x.
x\times \frac{2+1}{2}=12\times 78
Multiply 1 and 2 to get 2.
x\times \frac{3}{2}=12\times 78
Add 2 and 1 to get 3.
x\times \frac{3}{2}=936
Multiply 12 and 78 to get 936.
x=936\times \frac{2}{3}
Multiply both sides by \frac{2}{3}, the reciprocal of \frac{3}{2}.
x=\frac{936\times 2}{3}
Express 936\times \frac{2}{3} as a single fraction.
x=\frac{1872}{3}
Multiply 936 and 2 to get 1872.
x=624
Divide 1872 by 3 to get 624.