Solve for x
x=-27
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4x-19=5x+8
Variable x cannot be equal to any of the values -\frac{8}{5},\frac{19}{4} since division by zero is not defined. Multiply both sides of the equation by \left(4x-19\right)\left(5x+8\right), the least common multiple of 5x+8,4x-19.
4x-19-5x=8
Subtract 5x from both sides.
-x-19=8
Combine 4x and -5x to get -x.
-x=8+19
Add 19 to both sides.
-x=27
Add 8 and 19 to get 27.
x=-27
Multiply both sides by -1.
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