What is the answer to 3|2x-3|+2=3 ?

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

Solve for x: 3|2x-3|+2=3

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

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3 ∣ 2 x - 3 ∣ + 2 = 3

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

Decimal Notation

x = 1.33333 \dots, x = 1.66666 \dots

Solution steps

3 ∣ 2 x - 3 ∣ + 2 = 3

Move

2

to the right side

3 ∣ 2 x - 3 ∣ = 1

Divide both sides by

3

∣ 2 x - 3 ∣ = \frac{1}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 3 = - \frac{1}{3} or 2 x - 3 = \frac{1}{3}

2 x - 3 = - \frac{1}{3} or 2 x - 3 = \frac{1}{3}

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

2 x^{2} - 3 x - 6 = 0

∣ 3 x - 1 ∣ \leq 4

9 a^{6} b^{3} + 27 a^{5} b^{3} - 36 a c^{3}

\frac{5}{2} x + \frac{5}{6} x = \frac{4}{3}

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

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