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

The answer to |x-2|=|3x+5| is x=-7/2 \lor x=-3/4

Solve for x: |x-2|=|3x+5|

The solution is x=-7/2 \lor x=-3/4

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∣ x - 2 ∣ = ∣ 3 x + 5 ∣

x = - \frac{7}{2} or x = - \frac{3}{4}

Decimal Notation

x = - 3.5, x = - 0.75

Solution steps

∣ x - 2 ∣ = ∣ 3 x + 5 ∣

Find positive and negative intervals

x < - \frac{5}{3}, - \frac{5}{3} \leq x < 2, x \geq 2

Solve the inequality for each interval

x = - \frac{7}{2} or x = - \frac{3}{4} or No Solution

x = - \frac{7}{2} or x = - \frac{3}{4}

\frac{1 0 ^{7}}{1 0 ^{4}}

9 \cdot a^{3} - 4 \cdot a

4 x - 7 < 12 and 3 x + 5 > 11

f^{- 1} (7)

0 = 55 x - 50 x + 2825 - 3025

What is the answer to |x-2|=|3x+5| ?
The answer to |x-2|=|3x+5| is x=-7/2 \lor x=-3/4
Solve for x: |x-2|=|3x+5|
The solution is x=-7/2 \lor x=-3/4