Solve for x
x = -\frac{23}{2} = -11\frac{1}{2} = -11.5
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14x-15=8\left(2x+1\right)
Variable x cannot be equal to -\frac{1}{2} since division by zero is not defined. Multiply both sides of the equation by 2x+1.
14x-15=16x+8
Use the distributive property to multiply 8 by 2x+1.
14x-15-16x=8
Subtract 16x from both sides.
-2x-15=8
Combine 14x and -16x to get -2x.
-2x=8+15
Add 15 to both sides.
-2x=23
Add 8 and 15 to get 23.
x=\frac{23}{-2}
Divide both sides by -2.
x=-\frac{23}{2}
Fraction \frac{23}{-2} can be rewritten as -\frac{23}{2} by extracting the negative sign.
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