What is the answer to |5x+3|+2x-7=21 ?

The answer to |5x+3|+2x-7=21 is x=-31/3 \lor x= 25/7

Solve for x: |5x+3|+2x-7=21

The solution is x=-31/3 \lor x= 25/7

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∣ 5 x + 3 ∣ + 2 x - 7 = 21

x = - \frac{31}{3} or x = \frac{25}{7}

Decimal Notation

x = - 10.33333 \dots, x = 3.57142 \dots

Solution steps

∣ 5 x + 3 ∣ + 2 x - 7 = 21

Find positive and negative intervals

x < - \frac{3}{5}, x \geq - \frac{3}{5}

Solve the inequality for each interval

x = - \frac{31}{3} or x = \frac{25}{7}

5 ∣ 3 x - 7 ∣ = 10

x - \frac{3}{8} = 2

∣ 3 x + 1 ∣ = x + 5

- 3 + 4 ∣ 5 x - 3 ∣ = 25

∣ 2 x - 4 ∣ = 2 x + 2

What is the answer to |5x+3|+2x-7=21 ?
The answer to |5x+3|+2x-7=21 is x=-31/3 \lor x= 25/7
Solve for x: |5x+3|+2x-7=21
The solution is x=-31/3 \lor x= 25/7