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

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

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

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

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∣ 2 x + 3 ∣ = 7 + x

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

Decimal Notation

x = - 3.33333 \dots, x = 4

Solution steps

∣ 2 x + 3 ∣ = 7 + x

Find positive and negative intervals

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

Solve the inequality for each interval

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

5 + ∣ 2 - x ∣ = 7

∣ 3 x + 12 ∣ = - 6 x

5 ∣ 3 n + 2 ∣ - 10 = 10

4 - 6 ∣ 5 a - 5 ∣ = 58

∣ 2 - b ∣ = 2