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Popular >

|3x-3/7 |=2 1/3

Solution

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

Solution

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

+1

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

or

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}

Popular Examples

\frac{3}{2 x} > 5

simplify 7/(n+9)+(12)/(4n+36)simplify

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

simplify (-8a^8b^{-2})/(10a^{-4)b^{-10}}simplify

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

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

factor p^2+9p-36 factor

p^{2} + 9 p - 36

Frequently Asked Questions (FAQ)

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