What is ((3x+4))/2-((5x-2))/3 ?

The solution to ((3x+4))/2-((5x-2))/3 is (-x+16)/6

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simplify ((3x+4))/2-((5x-2))/3

simplify

\frac{( 3 x + 4 )}{2} - \frac{( 5 x - 2 )}{3}

\frac{- x + 16}{6}

Solution steps

\frac{3 x + 4}{2} - \frac{5 x - 2}{3}

Least Common Multiplier of

2, 3 : 6

Adjust Fractions based on the LCM

= \frac{( 3 x + 4 ) \cdot 3}{6} - \frac{( 5 x - 2 ) \cdot 2}{6}

Apply the fraction rule:

\frac{a}{c} - \frac{b}{c} = \frac{a - b}{c}

= \frac{( 3 x + 4 ) \cdot 3 - ( 5 x - 2 ) \cdot 2}{6}

Simplify

(3 x + 4) \cdot 3 - (5 x - 2) \cdot 2 : - x + 16

= \frac{- x + 16}{6}

\frac{( 5 ^{2 (n + 6)} \cdot ( 25 ) ^{- 7 + 2 n} )}{( ( 125 ) ^{2 n} )}

- 1.6 (a + b + c) - 3.2 (2.7 a - c) + 4.3 (a + 2.5 b)

- x^{4} \cdot y^{10}

(\frac{1}{2} x - \frac{1}{3} y)^{3}

(8 y + y^{2})^{3}

What is ((3x+4))/2-((5x-2))/3 ?
The solution to ((3x+4))/2-((5x-2))/3 is (-x+16)/6