What is the answer to 8|4x-5|+9=100 ?

The answer to 8|4x-5|+9=100 is x=-51/32 \lor x= 131/32

Solve for x: 8|4x-5|+9=100

The solution is x=-51/32 \lor x= 131/32

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8 ∣ 4 x - 5 ∣ + 9 = 100

x = - \frac{51}{32} or x = \frac{131}{32}

Solution steps

8 ∣ 4 x - 5 ∣ + 9 = 100

Move

9

to the right side

8 ∣ 4 x - 5 ∣ = 91

Divide both sides by

8

∣ 4 x - 5 ∣ = \frac{91}{8}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 5 = - \frac{91}{8} or 4 x - 5 = \frac{91}{8}

4 x - 5 = - \frac{91}{8} or 4 x - 5 = \frac{91}{8}

x = - \frac{51}{32} or x = \frac{131}{32}

1 = ∣ t ∣ - 9

∣ 2 x + 1 ∣ + 2 = 4

2 ∣ 8 v - 1 ∣ = - 10

390 = ∣ x - 240 ∣

12 = 3 ∣ - j - 5 ∣ + 9

What is the answer to 8|4x-5|+9=100 ?
The answer to 8|4x-5|+9=100 is x=-51/32 \lor x= 131/32
Solve for x: 8|4x-5|+9=100
The solution is x=-51/32 \lor x= 131/32