What is the answer to |5x+3|+2=9 ?

The answer to |5x+3|+2=9 is x=-2\lor x= 4/5

Solve for x: |5x+3|+2=9

The solution is x=-2\lor x= 4/5

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∣ 5 x + 3 ∣ + 2 = 9

x = - 2 or x = \frac{4}{5}

Solution steps

∣ 5 x + 3 ∣ + 2 = 9

Move

2

to the right side

∣ 5 x + 3 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x + 3 = - 7 or 5 x + 3 = 7

5 x + 3 = - 7 or 5 x + 3 = 7

x = - 2 or x = \frac{4}{5}

x^{2} - 5 x + 3 = 0

∣ x + 3 ∣ + 2 = 2 x + 8

\frac{2 x - 5}{3} = 11

0 = - ∣ r ∣

- 6 ∣ 3 x + 4 ∣ + 7 = 5