What is the answer to 5|x+3|-4=8|x+3|-4 ?

The answer to 5|x+3|-4=8|x+3|-4 is x=-3

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5|x+3|-4=8|x+3|-4

5 ∣ x + 3 ∣ - 4 = 8 ∣ x + 3 ∣ - 4

x = - 3

Solution steps

5 ∣ x + 3 ∣ - 4 = 8 ∣ x + 3 ∣ - 4

Add

4

to both sides

5 ∣ x + 3 ∣ - 4 + 4 = 8 ∣ x + 3 ∣ - 4 + 4

Simplify

5 ∣ x + 3 ∣ = 8 ∣ x + 3 ∣

Move

8 ∣ x + 3 ∣

to the left side

- 3 ∣ x + 3 ∣ = 0

Divide both sides by

- 3

∣ x + 3 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

x + 3 = 0

x + 3 = 0 : x = - 3

x = - 3

∣ t - 50 ∣ = 30

- 6 = 8 ∣ 2 r + 7 ∣ - 6

∣ x + 9 ∣ = ∣ 6 - 2 x ∣

∣ p + 5 ∣ = 2

3 - \frac{1}{2} ∣ r + 9 ∣ = - 11

What is the answer to 5|x+3|-4=8|x+3|-4 ?
The answer to 5|x+3|-4=8|x+3|-4 is x=-3
Solve for x: 5|x+3|-4=8|x+3|-4
The solution is x=-3