What is the answer to 3|4-3/2 x|+8=23 ?

The answer to 3|4-3/2 x|+8=23 is x=-2/3 \lor x=6

Solve for x: 3|4-3/2 x|+8=23

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

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3 4 - \frac{3}{2} x + 8 = 23

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

Decimal

x = - 0.66666 \dots, x = 6

Solution steps

3 4 - \frac{3}{2} x + 8 = 23

Move

8

to the right side

3 4 - \frac{3}{2} x = 15

Divide both sides by

3

4 - \frac{3}{2} x = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 - \frac{3}{2} x = - 5 or 4 - \frac{3}{2} x = 5

4 - \frac{3}{2} x = - 5 or 4 - \frac{3}{2} x = 5

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

∣ 3 x + 3 ∣ + 1 = 3

2500 [\frac{( 1.18 ) ^{3} - 1}{0.18}]

(- 16)^{\frac{1}{2}}

9 x^{- 4} y^{6}

1000 = 5200 - 60 q

What is the answer to 3|4-3/2 x|+8=23 ?
The answer to 3|4-3/2 x|+8=23 is x=-2/3 \lor x=6
Solve for x: 3|4-3/2 x|+8=23
The solution is x=-2/3 \lor x=6