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12\times 7+3-4\times 23x=12x
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 x,4x,3x.
84+3-4\times 23x=12x
Multiply 12 and 7 to get 84.
87-4\times 23x=12x
Add 84 and 3 to get 87.
87-92x=12x
Multiply -4 and 23 to get -92.
87-92x-12x=0
Subtract 12x from both sides.
87-104x=0
Combine -92x and -12x to get -104x.
-104x=-87
Subtract 87 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-87}{-104}
Divide both sides by -104.
x=\frac{87}{104}
Fraction \frac{-87}{-104} can be simplified to \frac{87}{104} by removing the negative sign from both the numerator and the denominator.