What is the answer to |2r-4|=|2r+10| ?

The answer to |2r-4|=|2r+10| is r=-3/2

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|2r-4|=|2r+10|

∣ 2 r - 4 ∣ = ∣ 2 r + 10 ∣

r = - \frac{3}{2}

Decimal Notation

r = - 1.5

Solution steps

∣ 2 r - 4 ∣ = ∣ 2 r + 10 ∣

Find positive and negative intervals

r < - 5, - 5 \leq r < 2, r \geq 2

Solve the inequality for each interval

No Solution or r = - \frac{3}{2}

r = - \frac{3}{2}

x ∣ x + 3 ∣ + 2 ∣ x + 2 ∣ = 0

∣ 2 x + 5 ∣ = ∣ x - 4 ∣

∣ x + 3 ∣ = 2 x - 6

∣ 3 - x ∣ + 5 x = 2 x - ∣ 1 - 3 x ∣

∣ 2 x + 1 ∣ = 7^{3} - 92