What is the answer to 3|2-3x|+7=49 ?

The answer to 3|2-3x|+7=49 is x=-4\lor x= 16/3

Solve for x: 3|2-3x|+7=49

The solution is x=-4\lor x= 16/3

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3 ∣ 2 - 3 x ∣ + 7 = 49

x = - 4 or x = \frac{16}{3}

Decimal Notation

x = - 4, x = 5.33333 \dots

Solution steps

3 ∣ 2 - 3 x ∣ + 7 = 49

Move

7

to the right side

3 ∣ 2 - 3 x ∣ = 42

Divide both sides by

3

∣ 2 - 3 x ∣ = 14

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 - 3 x = - 14 or 2 - 3 x = 14

2 - 3 x = - 14 or 2 - 3 x = 14

x = - 4 or x = \frac{16}{3}

x^{2} - 5 x \leq - 4

2^{\frac{1}{2}} \cdot 2

r^{2} + 18 r + 80 = 0

3 r^{2} - 16 r + 5

6 a + 5 a = - 11

What is the answer to 3|2-3x|+7=49 ?
The answer to 3|2-3x|+7=49 is x=-4\lor x= 16/3
Solve for x: 3|2-3x|+7=49
The solution is x=-4\lor x= 16/3