What is the answer to ((5x+2))/3-((x-1))/2 =5+((x+3))/4 ?

The answer to ((5x+2))/3-((x-1))/2 =5+((x+3))/4 is x=5

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((5x+2))/3-((x-1))/2 =5+((x+3))/4

\frac{( 5 x + 2 )}{3} - \frac{( x - 1 )}{2} = 5 + \frac{( x + 3 )}{4}

x = 5

Solution steps

\frac{( 5 x + 2 )}{3} - \frac{( x - 1 )}{2} = 5 + \frac{( x + 3 )}{4}

\frac{5 x + 2}{3} - \frac{x - 1}{2} = 5 + \frac{x + 3}{4}

Multiply by LCM

4 (5 x + 2) - 6 (x - 1) = 60 + 3 (x + 3)

Expand

4 (5 x + 2) - 6 (x - 1) : 14 x + 14

Expand

60 + 3 (x + 3) : 3 x + 69

14 x + 14 = 3 x + 69

Move

14

to the right side

14 x = 3 x + 55

Move

3 x

to the left side

11 x = 55

Divide both sides by

11

x = 5

x, - 7 x + 3 y = 0

3 x - 2 - 2 x - 3 = 0

c, 4 c + 6 d = 20

\frac{1}{6} x - 4 = \frac{2}{3} x - \frac{1}{2}

x, k x - 4 y = 9

What is the answer to ((5x+2))/3-((x-1))/2 =5+((x+3))/4 ?
The answer to ((5x+2))/3-((x-1))/2 =5+((x+3))/4 is x=5
Solve for x: ((5x+2))/3-((x-1))/2 =5+((x+3))/4
The solution is x=5