Solve ∣x+1∣=∣2x−3∣|x + 1| = |2x - 3|.

x=4 or x=23x=4\text{ or }x=\frac23

x=1 or x=−1x=1\text{ or }x=-1

x=4 or x=−23x=4\text{ or }x=-\frac23

Absolute Value Equations

9. Inequalities and Absolute Value / Absolute Value Equations / Problem 4

Problem 4

Solve $∣ x + 1 ∣ = ∣ 2 x - 3 ∣$ .

$x = 4 or x = \frac{2}{3}$

$x = \frac{5}{2}$

$x = 1 or x = - 1$

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