What is the answer to 2/3 |x+5|-5/3 =-1 ?

The answer to 2/3 |x+5|-5/3 =-1 is x=-6\lor x=-4

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2/3 |x+5|-5/3 =-1

\frac{2}{3} ∣ x + 5 ∣ - \frac{5}{3} = - 1

x = - 6 or x = - 4

Solution steps

\frac{2}{3} ∣ x + 5 ∣ - \frac{5}{3} = - 1

Move

\frac{5}{3}

to the right side

\frac{2}{3} ∣ x + 5 ∣ = \frac{2}{3}

Multiply both sides by

3

2 ∣ x + 5 ∣ = 2

Divide both sides by

2

∣ x + 5 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 5 = - 1 or x + 5 = 1

x + 5 = - 1 or x + 5 = 1

x = - 6 or x = - 4

\frac{1}{( 93 + 4 ) ( 93 + 10 )} < 1 0^{- 4}

u^{3} - u^{2} v + u v^{2} - v^{3}

5 x^{2} - 20 x = 0

2 x^{2} - 5 = - 55

3 x^{2} + 3 x - 36

What is the answer to 2/3 |x+5|-5/3 =-1 ?
The answer to 2/3 |x+5|-5/3 =-1 is x=-6\lor x=-4
Solve for x: 2/3 |x+5|-5/3 =-1
The solution is x=-6\lor x=-4