What is the answer to |4x+10|+6=11 ?

The answer to |4x+10|+6=11 is x=-15/4 \lor x=-5/4

Solve for x: |4x+10|+6=11

The solution is x=-15/4 \lor x=-5/4

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∣ 4 x + 10 ∣ + 6 = 11

x = - \frac{15}{4} or x = - \frac{5}{4}

Solution steps

∣ 4 x + 10 ∣ + 6 = 11

Move

6

to the right side

∣ 4 x + 10 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x + 10 = - 5 or 4 x + 10 = 5

4 x + 10 = - 5 or 4 x + 10 = 5

x = - \frac{15}{4} or x = - \frac{5}{4}

3 ∣ 2 x - 7 ∣ - 5 = 4

∣ x + 2 ∣ = 12

x^{2} - 7 = 2

∣ 3 x + 1 ∣ = - 5

∣ x + 6 ∣ + 6 = 3 x

What is the answer to |4x+10|+6=11 ?
The answer to |4x+10|+6=11 is x=-15/4 \lor x=-5/4
Solve for x: |4x+10|+6=11
The solution is x=-15/4 \lor x=-5/4