Solve for x
x = \frac{12}{7} = 1\frac{5}{7} \approx 1.714285714
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12x\times \frac{1}{3}+12x\times \frac{1}{4}=12
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 3,4,x.
\frac{12}{3}x+12x\times \frac{1}{4}=12
Multiply 12 and \frac{1}{3} to get \frac{12}{3}.
4x+12x\times \frac{1}{4}=12
Divide 12 by 3 to get 4.
4x+\frac{12}{4}x=12
Multiply 12 and \frac{1}{4} to get \frac{12}{4}.
4x+3x=12
Divide 12 by 4 to get 3.
7x=12
Combine 4x and 3x to get 7x.
x=\frac{12}{7}
Divide both sides by 7.
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