What is the answer to 1/2 |x-5|+3=x+4 ?

The answer to 1/2 |x-5|+3=x+4 is x=1

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1/2 |x-5|+3=x+4

\frac{1}{2} ∣ x - 5 ∣ + 3 = x + 4

x = 1

Solution steps

\frac{1}{2} ∣ x - 5 ∣ + 3 = x + 4

Find positive and negative intervals

x < 5, x \geq 5

Solve the inequality for each interval

x = 1 or No Solution

x = 1

∣ 8 x - 4 ∣ + 64 = 6

∣ 8 - 2 x ∣ = x ∣ x - 4 ∣

∣ x + 2 ∣ = - 4

- 6 ∣ x - 2 ∣ - 9 = 4 ∣ x - 2 ∣ + 5

∣ 4 x + 3 ∣ + ∣ 12 x + 9 ∣ = 48