What is the answer to |3x-4|=|6-5x| ?

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

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|3x-4|=|6-5x|

∣ 3 x - 4 ∣ = ∣ 6 - 5 x ∣

x = 1 or x = \frac{5}{4}

Decimal

x = 1, x = 1.25

Solution steps

∣ 3 x - 4 ∣ = ∣ 6 - 5 x ∣

Find positive and negative intervals

x \leq \frac{6}{5}, \frac{6}{5} < x < \frac{4}{3}, x \geq \frac{4}{3}

Solve the inequality for each interval

x = 1 or x = \frac{5}{4} or No Solution

x = 1 or x = \frac{5}{4}

0 = 2 x - 2 ∣ x ∣ + 3

∣ 2 x - 3 ∣ - 2 = ∣ x - 6 ∣

∣ z ∣ = z + 1

\frac{∣ 3 - 6 w ∣}{5} - 16 = - 7

u, ∣ 4 u + 8 ∣ - 7 = - 43

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