Solve for x
x = -\frac{17}{8} = -2\frac{1}{8} = -2.125
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4x^{2}-10x+14-4x^{2}=31-2x
Subtract 4x^{2} from both sides.
-10x+14=31-2x
Combine 4x^{2} and -4x^{2} to get 0.
-10x+14+2x=31
Add 2x to both sides.
-8x+14=31
Combine -10x and 2x to get -8x.
-8x=31-14
Subtract 14 from both sides.
-8x=17
Subtract 14 from 31 to get 17.
x=\frac{17}{-8}
Divide both sides by -8.
x=-\frac{17}{8}
Fraction \frac{17}{-8} can be rewritten as -\frac{17}{8} by extracting the negative sign.
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