What is the answer to 5|2x+4|-3=-3 ?

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

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5|2x+4|-3=-3

5 ∣ 2 x + 4 ∣ - 3 = - 3

x = - 2

Solution steps

5 ∣ 2 x + 4 ∣ - 3 = - 3

Add

3

to both sides

5 ∣ 2 x + 4 ∣ - 3 + 3 = - 3 + 3

Simplify

5 ∣ 2 x + 4 ∣ = 0

Divide both sides by

5

∣ 2 x + 4 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

2 x + 4 = 0

2 x + 4 = 0 : x = - 2

x = - 2

3 lo g_{3} (8)

7 x - 22 = - 85

- x^{2} + 10 x - 25 = 0

\frac{( - 6 a ^{5} b ) ^{2}}{12 a ^{7} b} - 8 a^{3} b

\frac{2}{∣ 2 x - 3 ∣} \geq 3