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

The answer to |2x-3|=|x+4| is x=-1/3 \lor x=7

Solve for x: |2x-3|=|x+4|

The solution is x=-1/3 \lor x=7

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∣ 2 x - 3 ∣ = ∣ x + 4 ∣

x = - \frac{1}{3} or x = 7

Decimal Notation

x = - 0.33333 \dots, x = 7

Solution steps

∣ 2 x - 3 ∣ = ∣ x + 4 ∣

Find positive and negative intervals

x < - 4, - 4 \leq x < \frac{3}{2}, x \geq \frac{3}{2}

Solve the inequality for each interval

No Solution or x = - \frac{1}{3} or x = 7

x = - \frac{1}{3} or x = 7

3^{7}

5 x^{2} - 14 x + 9 \leq 0

\frac{x ^{2} y ^{8}}{x ^{- 6} y ^{- 4}}

3 p^{2} + 10 p - 8 = 0

\frac{1}{3} y = \frac{2}{3} y^{2}

What is the answer to |2x-3|=|x+4| ?
The answer to |2x-3|=|x+4| is x=-1/3 \lor x=7
Solve for x: |2x-3|=|x+4|
The solution is x=-1/3 \lor x=7