What is the answer to |5x+7|=42 ?

The answer to |5x+7|=42 is x=-49/5 \lor x=7

Solve for x: |5x+7|=42

The solution is x=-49/5 \lor x=7

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∣ 5 x + 7 ∣ = 42

x = - \frac{49}{5} or x = 7

Decimal

x = - 9.8, x = 7

Solution steps

∣ 5 x + 7 ∣ = 42

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x + 7 = - 42 or 5 x + 7 = 42

5 x + 7 = - 42 or 5 x + 7 = 42

x = - \frac{49}{5} or x = 7

f, f x = 2 - ∣ x - 3 ∣

∣ 5 x + 7 ∣ = 27

∣ y ∣ = \frac{1 - 2 x}{x - 2}

∣ x + 13 ∣ = 7

4 ∣ 3 x + 1 ∣ + 4 = 6