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4x=12\times 2+12x\times \frac{1}{4}
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 3,x,4.
4x=24+12x\times \frac{1}{4}
Multiply 12 and 2 to get 24.
4x=24+\frac{12}{4}x
Multiply 12 and \frac{1}{4} to get \frac{12}{4}.
4x=24+3x
Divide 12 by 4 to get 3.
4x-3x=24
Subtract 3x from both sides.
x=24
Combine 4x and -3x to get x.