What is the answer to 2|8-3/2 x|+11=19 ?

The answer to 2|8-3/2 x|+11=19 is x= 8/3 \lor x=8

Solve for x: 2|8-3/2 x|+11=19

The solution is x= 8/3 \lor x=8

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2 8 - \frac{3}{2} x + 11 = 19

x = \frac{8}{3} or x = 8

Decimal Notation

x = 2.66666 \dots, x = 8

Solution steps

2 8 - \frac{3}{2} x + 11 = 19

Move

11

to the right side

2 8 - \frac{3}{2} x = 8

Divide both sides by

2

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

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 - \frac{3}{2} x = - 4 or 8 - \frac{3}{2} x = 4

8 - \frac{3}{2} x = - 4 or 8 - \frac{3}{2} x = 4

x = \frac{8}{3} or x = 8

4 x + 1 = 2 x + 7

110 (\frac{75}{110})^{\frac{35}{30}} + 75

\frac{1}{6} = \frac{x}{8}

- 3 x + 1 > - x - 3

2 (x - 1)^{2} = 0

What is the answer to 2|8-3/2 x|+11=19 ?
The answer to 2|8-3/2 x|+11=19 is x= 8/3 \lor x=8
Solve for x: 2|8-3/2 x|+11=19
The solution is x= 8/3 \lor x=8