What is (2x)/3-(5x-3)/(12)+3x ?

The solution to (2x)/3-(5x-3)/(12)+3x is (13x+1)/4

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simplify (2x)/3-(5x-3)/(12)+3x

simplify

\frac{2 x}{3} - \frac{5 x - 3}{12} + 3 x

\frac{13 x + 1}{4}

Solution steps

\frac{2 x}{3} - \frac{5 x - 3}{12} + 3 x

Join

\frac{2 x}{3} - \frac{5 x - 3}{12} : \frac{8 x - ( 5 x - 3 )}{12}

= \frac{8 x - ( 5 x - 3 )}{12} + 3 x

Apply the fraction rule:

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

= \frac{3 x \cdot 12 + 8 x - ( 5 x - 3 )}{12}

Multiply the numbers:

3 \cdot 12 = 36

= \frac{36 x + 8 x - ( 5 x - 3 )}{12}

Add similar elements:

36 x + 8 x = 44 x

= \frac{44 x - ( 5 x - 3 )}{12}

Simplify

44 x - (5 x - 3) : 39 x + 3

= \frac{39 x + 3}{12}

Cancel

\frac{39 x + 3}{12} : \frac{13 x + 1}{4}

= \frac{13 x + 1}{4}

2 + \frac{4}{2}

y^{4} + x^{2} y^{4}

\frac{4}{3} \div \frac{5}{2}

2 e^{2} - e^{2}

What is (2x)/3-(5x-3)/(12)+3x ?
The solution to (2x)/3-(5x-3)/(12)+3x is (13x+1)/4