What is the answer to |4x+3|=3-x ?

The answer to |4x+3|=3-x is x=-2\lor x=0

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|4x+3|=3-x

∣ 4 x + 3 ∣ = 3 - x

x = - 2 or x = 0

Solution steps

∣ 4 x + 3 ∣ = 3 - x

Find positive and negative intervals

x < - \frac{3}{4}, x \geq - \frac{3}{4}

Solve the inequality for each interval

x = - 2 or x = 0

5 (6 x + 1) - 18 x = 3 (4 x - 2)

(4 j - 2)^{2} - (2 + 4 j)^{2}

60 a + 64 \geq 80 a - 9260 a + 64 \geq 80 a - 92

k^{2} + k - 2

3^{2} \cdot 3^{4}