What is the answer to |4-x|=3|2x-2| ?

The answer to |4-x|=3|2x-2| is x= 2/5 \lor x= 10/7

Solve for x: |4-x|=3|2x-2|

The solution is x= 2/5 \lor x= 10/7

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∣ 4 - x ∣ = 3 ∣ 2 x - 2 ∣

x = \frac{2}{5} or x = \frac{10}{7}

Decimal

x = 0.4, x = 1.42857 \dots

Solution steps

∣ 4 - x ∣ = 3 ∣ 2 x - 2 ∣

Find positive and negative intervals

x < 1, 1 \leq x \leq 4, x > 4

Solve the inequality for each interval

x = \frac{2}{5} or x = \frac{10}{7} or No Solution

x = \frac{2}{5} or x = \frac{10}{7}

∣ x - 3 ∣ = ∣ x + 1 ∣

∣ 3 - 2 (3 x - 2) ∣ = ∣ 4 x - 1 ∣

∣ 2 x ∣ = - 8

∣ 3 x - 5 ∣ = 1 - x

- 4 ∣ 5 x + 5 ∣ = 0

What is the answer to |4-x|=3|2x-2| ?
The answer to |4-x|=3|2x-2| is x= 2/5 \lor x= 10/7
Solve for x: |4-x|=3|2x-2|
The solution is x= 2/5 \lor x= 10/7