What is the answer to |4x-7|=x+5 ?

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

Solve for x: |4x-7|=x+5

The solution is x= 2/5 \lor x=4

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∣ 4 x - 7 ∣ = x + 5

x = \frac{2}{5} or x = 4

Decimal Notation

x = 0.4, x = 4

Solution steps

∣ 4 x - 7 ∣ = x + 5

Find positive and negative intervals

x < \frac{7}{4}, x \geq \frac{7}{4}

Solve the inequality for each interval

x = \frac{2}{5} or x = 4

1 = a ∣ x - 3 ∣ + 9

\frac{3}{4} ∣ 4 x ∣ = 12

x = ∣ x + 5 ∣

∣ t - 2 ∣ = 17

2 ∣ 6 - x ∣ = - 4 x