What is the answer to |4x+2|=|7x-2| ?

The answer to |4x+2|=|7x-2| is x=0\lor x= 4/3

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|4x+2|=|7x-2|

∣ 4 x + 2 ∣ = ∣ 7 x - 2 ∣

x = 0 or x = \frac{4}{3}

Decimal Notation

x = 0, x = 1.33333 \dots

Solution steps

∣ 4 x + 2 ∣ = ∣ 7 x - 2 ∣

Find positive and negative intervals

x < - \frac{1}{2}, - \frac{1}{2} \leq x < \frac{2}{7}, x \geq \frac{2}{7}

Solve the inequality for each interval

No Solution or x = 0 or x = \frac{4}{3}

x = 0 or x = \frac{4}{3}

x^{3} - 4 x^{2} - 16 x + 64

\frac{8}{3} - \frac{2}{7}

2 x^{2} + 6 x + 10 = 0

8 x + 10 - 4 x = 18

6 m^{2} + 5 m - 3 = 0

What is the answer to |4x+2|=|7x-2| ?
The answer to |4x+2|=|7x-2| is x=0\lor x= 4/3
Solve for x: |4x+2|=|7x-2|
The solution is x=0\lor x= 4/3