What is the answer to |((3x+4))/3 |=7 ?

The answer to |((3x+4))/3 |=7 is x=-25/3 \lor x= 17/3

Solve for x: |((3x+4))/3 |=7

The solution is x=-25/3 \lor x= 17/3

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\frac{( 3 x + 4 )}{3} = 7

x = - \frac{25}{3} or x = \frac{17}{3}

Solution steps

\frac{3 x + 4}{3} = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{3 x + 4}{3} = - 7 or \frac{3 x + 4}{3} = 7

\frac{3 x + 4}{3} = - 7 or \frac{3 x + 4}{3} = 7

x = - \frac{25}{3} or x = \frac{17}{3}

∣ x - 4 ∣ + ∣ x - 7 ∣ = 11

x ∣ x ∣ + 7 x - 8 = 0

2 ∣ (x - 2) (x - 5) ∣ = (x - 3)^{2}

∣ x + 3 ∣ = - ∣ x + 1 ∣

∣ 5 x + 16 ∣ = ∣ 3 x + 48 ∣

What is the answer to |((3x+4))/3 |=7 ?
The answer to |((3x+4))/3 |=7 is x=-25/3 \lor x= 17/3
Solve for x: |((3x+4))/3 |=7
The solution is x=-25/3 \lor x= 17/3