What is the answer to |4x+5|=x+2 ?

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

Solve for x: |4x+5|=x+2

The solution is x=-7/5 \lor x=-1

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∣ 4 x + 5 ∣ = x + 2

x = - \frac{7}{5} or x = - 1

Decimal Notation

x = - 1.4, x = - 1

Solution steps

∣ 4 x + 5 ∣ = x + 2

Find positive and negative intervals

x < - \frac{5}{4}, x \geq - \frac{5}{4}

Solve the inequality for each interval

x = - \frac{7}{5} or x = - 1

∣ 6 x + 5 ∣ - 15 = 0

∣ 5 x - 15 ∣ = 35

- 9 = - 3 ∣ 2 x - 11 ∣

5 ∣ 1 - 4 x ∣ - 12 = 3

∣ 2 y - 5 ∣ + 1 = y - 3