What is the answer to |3x+2|=|7x+4| ?

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

Solve for x: |3x+2|=|7x+4|

The solution is x=-3/5 \lor x=-1/2

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∣ 3 x + 2 ∣ = ∣ 7 x + 4 ∣

x = - \frac{3}{5} or x = - \frac{1}{2}

Decimal

x = - 0.6, x = - 0.5

Solution steps

∣ 3 x + 2 ∣ = ∣ 7 x + 4 ∣

Find positive and negative intervals

x < - \frac{2}{3}, - \frac{2}{3} \leq x < - \frac{4}{7}, x \geq - \frac{4}{7}

Solve the inequality for each interval

No Solution or x = - \frac{3}{5} or x = - \frac{1}{2}

x = - \frac{3}{5} or x = - \frac{1}{2}

∣ x ∣ + 8 = 5

4 6 - \frac{3}{2} x + 6 = 18

∣ x - 3 ∣ = ∣ x - 5 ∣

- 5 ∣ 7 - y ∣ - 2 = - 17

2 - ∣ x ∣ = 0

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