What is the answer to |x+1|+|5x-2|=6 ?

The answer to |x+1|+|5x-2|=6 is x=-3/4 \lor x= 7/6

Solve for x: |x+1|+|5x-2|=6

The solution is x=-3/4 \lor x= 7/6

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∣ x + 1 ∣ + ∣ 5 x - 2 ∣ = 6

x = - \frac{3}{4} or x = \frac{7}{6}

Decimal

x = - 0.75, x = 1.16666 \dots

Solution steps

∣ x + 1 ∣ + ∣ 5 x - 2 ∣ = 6

Find positive and negative intervals

x < - 1, - 1 \leq x < \frac{2}{5}, x \geq \frac{2}{5}

Solve the inequality for each interval

No Solution or x = - \frac{3}{4} or x = \frac{7}{6}

x = - \frac{3}{4} or x = \frac{7}{6}

(x - 3)^{2} - 12 ∣ x - 3 ∣ + 35 = 0

- 11 = - 2 ∣ 5 d - 1 ∣ - 3

x^{3} + x - 1 = x + 1

∣ x + 1 ∣ + ∣ 2 x - 3 ∣ = 8

∣ 3 x + 9 ∣ - 9 = 40

What is the answer to |x+1|+|5x-2|=6 ?
The answer to |x+1|+|5x-2|=6 is x=-3/4 \lor x= 7/6
Solve for x: |x+1|+|5x-2|=6
The solution is x=-3/4 \lor x= 7/6