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

The answer to ((x+2))/3-((x-3))/4 =5-((x-1))/2 is x=7

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

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

x = 7

Solution steps

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

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

Multiply by LCM

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

Expand

4 (x + 2) - 3 (x - 3) : x + 17

Expand

60 - 6 (x - 1) : - 6 x + 66

x + 17 = - 6 x + 66

Move

17

to the right side

x = - 6 x + 49

Move

6 x

to the left side

7 x = 49

Divide both sides by

7

x = 7

x, 9 x + 8 y = 9

3 x - 7 + 7 = 5 + 7

82 = j + (- 12)

x, y n = 0.2 y [n - 1] + x [n]

y, 2 y + 6 = x

What is the answer to ((x+2))/3-((x-3))/4 =5-((x-1))/2 ?
The answer to ((x+2))/3-((x-3))/4 =5-((x-1))/2 is x=7
Solve for x: ((x+2))/3-((x-3))/4 =5-((x-1))/2
The solution is x=7