What is the answer to |3x+4|+1=7 ?

The answer to |3x+4|+1=7 is x=-10/3 \lor x= 2/3

Solve for x: |3x+4|+1=7

The solution is x=-10/3 \lor x= 2/3

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∣ 3 x + 4 ∣ + 1 = 7

x = - \frac{10}{3} or x = \frac{2}{3}

Decimal Notation

x = - 3.33333 \dots, x = 0.66666 \dots

Solution steps

∣ 3 x + 4 ∣ + 1 = 7

Move

1

to the right side

∣ 3 x + 4 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 4 = - 6 or 3 x + 4 = 6

3 x + 4 = - 6 or 3 x + 4 = 6

x = - \frac{10}{3} or x = \frac{2}{3}

\frac{2}{- 10 i}

x - \frac{4}{3} = 5

- 3 x + 11 = - 8 x + 51

- 4.2 x + 9.5 = 5.3

\frac{7}{\frac{3}{5}}

What is the answer to |3x+4|+1=7 ?
The answer to |3x+4|+1=7 is x=-10/3 \lor x= 2/3
Solve for x: |3x+4|+1=7
The solution is x=-10/3 \lor x= 2/3