What is the answer to |3x-3/7 |=2 1/3 ?

The answer to |3x-3/7 |=2 1/3 is x=-40/63 \lor x= 58/63

Solve for x: |3x-3/7 |=2 1/3

The solution is x=-40/63 \lor x= 58/63

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3 x - \frac{3}{7} = 2 \frac{1}{3}

x = - \frac{40}{63} or x = \frac{58}{63}

Decimal Notation

x = - 0.63492 \dots, x = 0.92063 \dots

Solution steps

3 x - \frac{3}{7} = 2 \frac{1}{3}

Convert mixed numbers to improper fractions:

2 \frac{1}{3} = \frac{7}{3}

3 x - \frac{3}{7} = \frac{7}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - \frac{40}{63} or x = \frac{58}{63}

\frac{3}{2 x} > 5

\frac{7}{n + 9} + \frac{12}{4 n + 36}

\frac{- 8 a ^{8} b ^{- 2}}{10 a ^{- 4} b ^{- 10}}

- 2 x^{2} + 12 x - 11 = 0

p^{2} + 9 p - 36

What is the answer to |3x-3/7 |=2 1/3 ?
The answer to |3x-3/7 |=2 1/3 is x=-40/63 \lor x= 58/63
Solve for x: |3x-3/7 |=2 1/3
The solution is x=-40/63 \lor x= 58/63