What is the answer to |16x+20|=|10-20x| ?

The answer to |16x+20|=|10-20x| is x=-5/18 \lor x= 15/2

Solve for x: |16x+20|=|10-20x|

The solution is x=-5/18 \lor x= 15/2

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∣ 16 x + 20 ∣ = ∣ 10 - 20 x ∣

x = - \frac{5}{18} or x = \frac{15}{2}

Decimal Notation

x = - 0.27777 \dots, x = 7.5

Solution steps

∣ 16 x + 20 ∣ = ∣ 10 - 20 x ∣

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or x = - \frac{5}{18} or x = \frac{15}{2}

x = - \frac{5}{18} or x = \frac{15}{2}

∣ - x + a ∣ = 3 a - 2

∣ x ∣ (∣ x ∣ - 2) = 3

∣ 3 x - 2 ∣ + 1 = - 1

∣ x + 1 ∣ = - ∣ 2 x - 3 ∣

x^{3} - 2 x^{2} + x = 2

What is the answer to |16x+20|=|10-20x| ?
The answer to |16x+20|=|10-20x| is x=-5/18 \lor x= 15/2
Solve for x: |16x+20|=|10-20x|
The solution is x=-5/18 \lor x= 15/2