What is the answer to |2x+5|=4x-7 ?

The answer to |2x+5|=4x-7 is x=6

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|2x+5|=4x-7

∣ 2 x + 5 ∣ = 4 x - 7

x = 6

Solution steps

∣ 2 x + 5 ∣ = 4 x - 7

Find positive and negative intervals

x < - \frac{5}{2}, x \geq - \frac{5}{2}

Solve the inequality for each interval

No Solution or x = 6

x = 6

∣ r + 5 ∣ = 12

2 ∣ x - 7 ∣ + 8 = 12

∣ x ∣ = - 86

∣ b + 3 ∣ = 11

∣ 8 X + 19 ∣ = 15