What is the answer to 5/4 x+1/2 =x-1/2 ?

The answer to 5/4 x+1/2 =x-1/2 is x=-4

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5/4 x+1/2 =x-1/2

\frac{5}{4} x + \frac{1}{2} = x - \frac{1}{2}

x = - 4

Solution steps

\frac{5}{4} x + \frac{1}{2} = x - \frac{1}{2}

Move

\frac{1}{2}

to the right side

\frac{5}{4} x = x - 1

Move

x

to the left side

\frac{1}{4} x = - 1

Multiply both sides by

4

x = - 4

9^{- \frac{7}{2}}

(x - 10) (x - 2) = - 16

2 z^{2} - 22 = 0

6 (x - 5) (x - 4) < 0

6 x + 5 < - 25