What is the answer to 3|2x-7|+5=9 ?

The answer to 3|2x-7|+5=9 is x= 17/6 \lor x= 25/6

Solve for x: 3|2x-7|+5=9

The solution is x= 17/6 \lor x= 25/6

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3 ∣ 2 x - 7 ∣ + 5 = 9

x = \frac{17}{6} or x = \frac{25}{6}

Solution steps

3 ∣ 2 x - 7 ∣ + 5 = 9

Move

5

to the right side

3 ∣ 2 x - 7 ∣ = 4

Divide both sides by

3

∣ 2 x - 7 ∣ = \frac{4}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 7 = - \frac{4}{3} or 2 x - 7 = \frac{4}{3}

2 x - 7 = - \frac{4}{3} or 2 x - 7 = \frac{4}{3}

x = \frac{17}{6} or x = \frac{25}{6}

2.2 b - 4 = - 0.15

- 3 \leq x - 2 < 1

3 x + 5 = 5 x - 9

\frac{x ^{\frac{5}{6}}}{x ^{\frac{1}{6}}}

\frac{( 3 \cdot 1 0 ^{8} )}{9}

What is the answer to 3|2x-7|+5=9 ?
The answer to 3|2x-7|+5=9 is x= 17/6 \lor x= 25/6
Solve for x: 3|2x-7|+5=9
The solution is x= 17/6 \lor x= 25/6