What is the answer to |3x-9|-|4x-6|=4 ?

The answer to |3x-9|-|4x-6|=4 is x=1\lor x= 11/7

Solve for x: |3x-9|-|4x-6|=4

The solution is x=1\lor x= 11/7

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∣ 3 x - 9 ∣ - ∣ 4 x - 6 ∣ = 4

x = 1 or x = \frac{11}{7}

Decimal

x = 1, x = 1.57142 \dots

Solution steps

∣ 3 x - 9 ∣ - ∣ 4 x - 6 ∣ = 4

Find positive and negative intervals

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

Solve the inequality for each interval

x = 1 or x = \frac{11}{7} or No Solution

x = 1 or x = \frac{11}{7}

∣ x - 2 ∣ + ∣ x ∣ = 2

∣ x + 1 ∣ = ∣ x - 1 ∣

∣ x - 1 ∣ = 2 x + 3

∣ 3 x - 2 ∣ = ∣ 2 x - 11 ∣

∣ x - 1 ∣ - 2 ∣ 2 - x ∣ = 0

What is the answer to |3x-9|-|4x-6|=4 ?
The answer to |3x-9|-|4x-6|=4 is x=1\lor x= 11/7
Solve for x: |3x-9|-|4x-6|=4
The solution is x=1\lor x= 11/7