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

The answer to |2x+3|=|7-x| is x=-10\lor x= 4/3

Solve for x: |2x+3|=|7-x|

The solution is x=-10\lor x= 4/3

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∣ 2 x + 3 ∣ = ∣ 7 - x ∣

x = - 10 or x = \frac{4}{3}

Solution steps

∣ 2 x + 3 ∣ = ∣ 7 - x ∣

Find positive and negative intervals

x < - \frac{3}{2}, - \frac{3}{2} \leq x \leq 7, x > 7

Solve the inequality for each interval

x = - 10 or x = \frac{4}{3} or No Solution

x = - 10 or x = \frac{4}{3}

∣ x - 2 ∣ - ∣ x - 6 ∣ = 1

∣ 2 x - 3 ∣ = ∣ x + 7 ∣

- x^{2} + 4 x - 7 - x^{2} + 4 x - 7 = 0

∣ x - 5 ∣ + ∣ x + 6 ∣ = ∣ 2 x + 1 ∣

x^{2} + 4 x - 5 = x^{2} - 1

What is the answer to |2x+3|=|7-x| ?
The answer to |2x+3|=|7-x| is x=-10\lor x= 4/3
Solve for x: |2x+3|=|7-x|
The solution is x=-10\lor x= 4/3