What is the answer to |2x+5|+|3-7x|=16 ?

The answer to |2x+5|+|3-7x|=16 is x=-8/5 \lor x= 14/9

Solve for x: |2x+5|+|3-7x|=16

The solution is x=-8/5 \lor x= 14/9

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∣ 2 x + 5 ∣ + ∣ 3 - 7 x ∣ = 16

x = - \frac{8}{5} or x = \frac{14}{9}

Decimal Notation

x = - 1.6, x = 1.55555 \dots

Solution steps

∣ 2 x + 5 ∣ + ∣ 3 - 7 x ∣ = 16

Find positive and negative intervals

x < - \frac{5}{2}, - \frac{5}{2} \leq x \leq \frac{3}{7}, x > \frac{3}{7}

Solve the inequality for each interval

No Solution or x = - \frac{8}{5} or x = \frac{14}{9}

x = - \frac{8}{5} or x = \frac{14}{9}

∣ x ∣^{2} - ∣ x ∣ + 4 = 2 x^{2} - 3 ∣ x ∣ + 1

∣ x ∣ + 2 ∣ x - 1 ∣ - 3 ∣ x - 2 ∣ = 4

11 + 5 ∣ x - 1 ∣ = 17

∣ x - 3 ∣ + ∣ x + 2 ∣ - ∣ x - 4 ∣ = 3

∣ x - 1 ∣ + ∣ x - 2 ∣ = 2

What is the answer to |2x+5|+|3-7x|=16 ?
The answer to |2x+5|+|3-7x|=16 is x=-8/5 \lor x= 14/9
Solve for x: |2x+5|+|3-7x|=16
The solution is x=-8/5 \lor x= 14/9