What is the answer to |5-3x|= 1/2 ?

The answer to |5-3x|= 1/2 is x= 3/2 \lor x= 11/6

Solve for x: |5-3x|= 1/2

The solution is x= 3/2 \lor x= 11/6

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∣ 5 - 3 x ∣ = \frac{1}{2}

x = \frac{3}{2} or x = \frac{11}{6}

Solution steps

∣ 5 - 3 x ∣ = \frac{1}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 - 3 x = - \frac{1}{2} or 5 - 3 x = \frac{1}{2}

5 - 3 x = - \frac{1}{2} or 5 - 3 x = \frac{1}{2}

x = \frac{3}{2} or x = \frac{11}{6}

\frac{- 5 x + 92}{6} = 3 x

\frac{( - 1 ) ^{3 - 1}}{5 ^{3}}

(x^{3} - 1)^{2} > 1

- 3 x^{2} = 9 x

\frac{1}{5} (2)^{5}

What is the answer to |5-3x|= 1/2 ?
The answer to |5-3x|= 1/2 is x= 3/2 \lor x= 11/6
Solve for x: |5-3x|= 1/2
The solution is x= 3/2 \lor x= 11/6