What is the answer to |x+1/2 |=3 2/3 ?

The answer to |x+1/2 |=3 2/3 is x=-4 1/6 \lor x=3 1/6

Solve for x: |x+1/2 |=3 2/3

The solution is x=-4 1/6 \lor x=3 1/6

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x + \frac{1}{2} = 3 \frac{2}{3}

x = - 4 \frac{1}{6} or x = 3 \frac{1}{6}

Decimal Notation

x = - 4.16666 \dots, x = 3.16666 \dots

Solution steps

x + \frac{1}{2} = 3 \frac{2}{3}

Convert mixed numbers to improper fractions:

3 \frac{2}{3} = \frac{11}{3}

x + \frac{1}{2} = \frac{11}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + \frac{1}{2} = - \frac{11}{3} or x + \frac{1}{2} = \frac{11}{3}

x + \frac{1}{2} = - \frac{11}{3} or x + \frac{1}{2} = \frac{11}{3}

x = - \frac{25}{6} or x = \frac{19}{6}

Convert improper fractions to mixed numbers:

\frac{25}{6} = 4 \frac{1}{6}

Convert improper fractions to mixed numbers:

\frac{19}{6} = 3 \frac{1}{6}

x = - 4 \frac{1}{6} or x = 3 \frac{1}{6}

7 x - 4 = 20 + 3 x

(2 x + 1) (x - 3) = 0

(5 x + 1)^{2} + 3 = 10

2 (x + 3) (x - 2)^{3} + (x + 3)^{2} \cdot 3 (x - 2)^{2}

\frac{8 ( 3 ) - 3 ( 4 ) ^{2}}{3 ( 3 ) ^{2} - 8 ( 4 )}

What is the answer to |x+1/2 |=3 2/3 ?
The answer to |x+1/2 |=3 2/3 is x=-4 1/6 \lor x=3 1/6
Solve for x: |x+1/2 |=3 2/3
The solution is x=-4 1/6 \lor x=3 1/6