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-10=3x-4
Variable x cannot be equal to \frac{4}{3} since division by zero is not defined. Multiply both sides of the equation by 20\left(3x-4\right), the least common multiple of 2\left(3x-4\right),20.
3x-4=-10
Swap sides so that all variable terms are on the left hand side.
3x=-10+4
Add 4 to both sides.
3x=-6
Add -10 and 4 to get -6.
x=\frac{-6}{3}
Divide both sides by 3.
x=-2
Divide -6 by 3 to get -2.