What is the answer to |5x-4|=|2x+1| ?

The answer to |5x-4|=|2x+1| is x= 3/7 \lor x= 5/3

Solve for x: |5x-4|=|2x+1|

The solution is x= 3/7 \lor x= 5/3

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∣ 5 x - 4 ∣ = ∣ 2 x + 1 ∣

x = \frac{3}{7} or x = \frac{5}{3}

Decimal Notation

x = 0.42857 \dots, x = 1.66666 \dots

Solution steps

∣ 5 x - 4 ∣ = ∣ 2 x + 1 ∣

Find positive and negative intervals

x < - \frac{1}{2}, - \frac{1}{2} \leq x < \frac{4}{5}, x \geq \frac{4}{5}

Solve the inequality for each interval

No Solution or x = \frac{3}{7} or x = \frac{5}{3}

x = \frac{3}{7} or x = \frac{5}{3}

lo g_{2} (125)

6 t - 3 = 3 t + 6

7 x^{2} + 6 x + 4 = 0

lo g_{49} (7) = \frac{1}{2}

30 x^{2} - 19 x - 5 = 0

What is the answer to |5x-4|=|2x+1| ?
The answer to |5x-4|=|2x+1| is x= 3/7 \lor x= 5/3
Solve for x: |5x-4|=|2x+1|
The solution is x= 3/7 \lor x= 5/3