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

The answer to 4x= 5/2 x-4 is x=-8/3

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4x= 5/2 x-4

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

x = - \frac{8}{3}

Decimal Notation

x = - 2.66666 \dots

Solution steps

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

Move

\frac{5}{2} x

to the left side

\frac{3}{2} x = - 4

Multiply both sides by

2

3 x = - 8

Divide both sides by

3

x = - \frac{8}{3}

∣ n ∣ + 4 < 12

x + x^{2} + 1 > 0

x^{2} + 3 x - 10 > 0

- x^{2} + 14 x - 49 = 0

lo g_{\frac{1}{4}} (64) = n