What is the answer to |2x-3|=|-7+2x| ?

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

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|2x-3|=|-7+2x|

∣ 2 x - 3 ∣ = ∣ - 7 + 2 x ∣

x = \frac{5}{2}

Decimal Notation

x = 2.5

Solution steps

∣ 2 x - 3 ∣ = ∣ - 7 + 2 x ∣

Find positive and negative intervals

x < \frac{3}{2}, \frac{3}{2} \leq x < \frac{7}{2}, x \geq \frac{7}{2}

Solve the inequality for each interval

No Solution or x = \frac{5}{2}

x = \frac{5}{2}

- \frac{64}{3} + 32

\frac{16}{x + 2} \geq 4

2 > x

3 (x + 1)^{2} = 108