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4x-11=3x-4
Variable x cannot be equal to any of the values \frac{4}{3},\frac{11}{4} since division by zero is not defined. Multiply both sides of the equation by \left(3x-4\right)\left(4x-11\right), the least common multiple of 3x-4,4x-11.
4x-11-3x=-4
Subtract 3x from both sides.
x-11=-4
Combine 4x and -3x to get x.
x=-4+11
Add 11 to both sides.
x=7
Add -4 and 11 to get 7.