What is the answer to |x+1|+|2x-3|=8 ?

The answer to |x+1|+|2x-3|=8 is x=-2\lor x= 10/3

Solve for x: |x+1|+|2x-3|=8

The solution is x=-2\lor x= 10/3

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∣ x + 1 ∣ + ∣ 2 x - 3 ∣ = 8

x = - 2 or x = \frac{10}{3}

Decimal

x = - 2, x = 3.33333 \dots

Solution steps

∣ x + 1 ∣ + ∣ 2 x - 3 ∣ = 8

Find positive and negative intervals

x < - 1, - 1 \leq x < \frac{3}{2}, x \geq \frac{3}{2}

Solve the inequality for each interval

x = - 2 or No Solution or x = \frac{10}{3}

x = - 2 or x = \frac{10}{3}

∣ 3 x + 9 ∣ - 9 = 40

∣ x + 1 ∣ = ∣ x - 3 ∣

- ∣ x + 5 ∣ = - 7

2 (∣ 7 x - 2 ∣) - 4 = 10

16 ∣ 2 s + 5 ∣ = 20

What is the answer to |x+1|+|2x-3|=8 ?
The answer to |x+1|+|2x-3|=8 is x=-2\lor x= 10/3
Solve for x: |x+1|+|2x-3|=8
The solution is x=-2\lor x= 10/3