What is the answer to |4x+5|=6x+3 ?

The answer to |4x+5|=6x+3 is x=1

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|4x+5|=6x+3

∣ 4 x + 5 ∣ = 6 x + 3

x = 1

Solution steps

∣ 4 x + 5 ∣ = 6 x + 3

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or x = 1

x = 1

∣ 2 x - 4 ∣ = x + 2

∣ 3 x - 4 ∣ + 2 = 6

∣ 3 x - 4 ∣ + 2 = 7

5 - 8 ∣ 3 x + 3 ∣ = - 43

∣ 2 x - 4 ∣ = x - 1