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

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

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

The solution is x=-8/9 \lor x= 8/3

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∣ 2 x - 5 ∣ + ∣ 3 - 7 x ∣ = 16

x = - \frac{8}{9} or x = \frac{8}{3}

Decimal Notation

x = - 0.88888 \dots, x = 2.66666 \dots

Solution steps

∣ 2 x - 5 ∣ + ∣ 3 - 7 x ∣ = 16

Find positive and negative intervals

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

Solve the inequality for each interval

x = - \frac{8}{9} or No Solution or x = \frac{8}{3}

x = - \frac{8}{9} or x = \frac{8}{3}

∣ x - 2 ∣ + ∣ x - 3 ∣ = 5

x, ∣ x - 2 ∣ = 4 s

\frac{x + \frac{4}{5} - 1}{2} = 0

∣ x + 1 ∣ + ∣ 2 x + 11 ∣ = 6

∣ 2 - 5 x ∣ = 1

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