What is the answer to 2|4-5/2 x+6|=18 ?

The answer to 2|4-5/2 x+6|=18 is x= 2/5 \lor x= 38/5

Solve for x: 2|4-5/2 x+6|=18

The solution is x= 2/5 \lor x= 38/5

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2 4 - \frac{5}{2} x + 6 = 18

x = \frac{2}{5} or x = \frac{38}{5}

Decimal Notation

x = 0.4, x = 7.6

Solution steps

2 4 - \frac{5}{2} x + 6 = 18

Divide both sides by

2

4 - \frac{5}{2} x + 6 = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 - \frac{5}{2} x + 6 = - 9 or 4 - \frac{5}{2} x + 6 = 9

4 - \frac{5}{2} x + 6 = - 9 or 4 - \frac{5}{2} x + 6 = 9

x = \frac{2}{5} or x = \frac{38}{5}

3 x - 14 < 7 x - 2

\frac{5}{6} + \frac{1}{4}

8 = \frac{( \frac{2 x + 2 2}{2} ) \cdot 8 x 2}{2}

\frac{x + 4}{x - 1} \geq 0

∣ x - 5 ∣ > 13

What is the answer to 2|4-5/2 x+6|=18 ?
The answer to 2|4-5/2 x+6|=18 is x= 2/5 \lor x= 38/5
Solve for x: 2|4-5/2 x+6|=18
The solution is x= 2/5 \lor x= 38/5