What is the answer to 2/3 |4(3x+1)-1|-5=3 ?

The answer to 2/3 |4(3x+1)-1|-5=3 is x=-5/4 \lor x= 3/4

Solve for x: 2/3 |4(3x+1)-1|-5=3

The solution is x=-5/4 \lor x= 3/4

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\frac{2}{3} ∣ 4 (3 x + 1) - 1 ∣ - 5 = 3

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

Decimal

x = - 1.25, x = 0.75

Solution steps

\frac{2}{3} ∣ 4 (3 x + 1) - 1 ∣ - 5 = 3

Move

5

to the right side

\frac{2}{3} ∣ 4 (3 x + 1) - 1 ∣ = 8

Multiply both sides by

3

2 ∣ 4 (3 x + 1) - 1 ∣ = 24

Divide both sides by

2

∣ 4 (3 x + 1) - 1 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 (3 x + 1) - 1 = - 12 or 4 (3 x + 1) - 1 = 12

4 (3 x + 1) - 1 = - 12 or 4 (3 x + 1) - 1 = 12

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

\frac{4}{3} ∣ 3 x - 6 ∣ = 16

∣ x + 12 ∣ = 3

∣ q + 1 ∣ = 4

∣ 2 x - 1 ∣ = ∣ 3 x - 4 ∣

∣ 7 x - 11 ∣ = 13

What is the answer to 2/3 |4(3x+1)-1|-5=3 ?
The answer to 2/3 |4(3x+1)-1|-5=3 is x=-5/4 \lor x= 3/4
Solve for x: 2/3 |4(3x+1)-1|-5=3
The solution is x=-5/4 \lor x= 3/4