What is the answer to 3|x+5|=7 ?

The answer to 3|x+5|=7 is x=-22/3 \lor x=-8/3

Solve for x: 3|x+5|=7

The solution is x=-22/3 \lor x=-8/3

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3 ∣ x + 5 ∣ = 7

x = - \frac{22}{3} or x = - \frac{8}{3}

Decimal Notation

x = - 7.33333 \dots, x = - 2.66666 \dots

Solution steps

3 ∣ x + 5 ∣ = 7

Divide both sides by

3

∣ x + 5 ∣ = \frac{7}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 5 = - \frac{7}{3} or x + 5 = \frac{7}{3}

x + 5 = - \frac{7}{3} or x + 5 = \frac{7}{3}

x = - \frac{22}{3} or x = - \frac{8}{3}

x^{2} + 8 x = 15

ab + a c - b - c

x^{2} + 10 x + 21

\frac{5}{4} = - 4 c + \frac{1}{4}

- \frac{4 d}{7} = 80