What is the answer to -3|3+2x|-3=-33 ?

The answer to -3|3+2x|-3=-33 is x=-13/2 \lor x= 7/2

Solve for x: -3|3+2x|-3=-33

The solution is x=-13/2 \lor x= 7/2

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- 3 ∣ 3 + 2 x ∣ - 3 = - 33

x = - \frac{13}{2} or x = \frac{7}{2}

Decimal Notation

x = - 6.5, x = 3.5

Solution steps

- 3 ∣ 3 + 2 x ∣ - 3 = - 33

Move

3

to the right side

- 3 ∣ 3 + 2 x ∣ = - 30

Divide both sides by

- 3

∣ 3 + 2 x ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 + 2 x = - 10 or 3 + 2 x = 10

3 + 2 x = - 10 or 3 + 2 x = 10

x = - \frac{13}{2} or x = \frac{7}{2}

9 x - 33 = - 87

\frac{4 x + 8}{7} < 4

\frac{4}{3} - \frac{3}{4}

x y^{4} - x^{2} y

x - \frac{2 x + 1}{4} = \frac{5 ( x - 1 )}{12}

What is the answer to -3|3+2x|-3=-33 ?
The answer to -3|3+2x|-3=-33 is x=-13/2 \lor x= 7/2
Solve for x: -3|3+2x|-3=-33
The solution is x=-13/2 \lor x= 7/2