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

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

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

The solution is x=-4/5 \lor x=4

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

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

Decimal Notation

x = - 0.8, x = 4

Solution steps

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

Move

6

to the right side

2 4 - \frac{5}{2} x = 12

Divide both sides by

2

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

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

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

(6 x + 2) > (x + 5)

8 \leq 2 x \leq x + 6

\frac{15}{2 75}

- \frac{2}{9} \cdot \frac{1}{5}

y^{2} + 4 y - 4 = 0

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