What is the answer to ((x+4))/5-((x-3))/4 = 22/5-((x+2))/5 ?

The answer to ((x+4))/5-((x-3))/4 = 22/5-((x+2))/5 is x= 49/3

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((x+4))/5-((x-3))/4 = 22/5-((x+2))/5

\frac{( x + 4 )}{5} - \frac{( x - 3 )}{4} = \frac{22}{5} - \frac{( x + 2 )}{5}

x = \frac{49}{3}

Decimal Notation

x = 16.33333 \dots

Solution steps

\frac{( x + 4 )}{5} - \frac{( x - 3 )}{4} = \frac{22}{5} - \frac{( x + 2 )}{5}

\frac{x + 4}{5} - \frac{x - 3}{4} = \frac{22}{5} - \frac{x + 2}{5}

Multiply by LCM

4 (x + 4) - 5 (x - 3) = 88 - 4 (x + 2)

Expand

4 (x + 4) - 5 (x - 3) : - x + 31

Expand

88 - 4 (x + 2) : - 4 x + 80

- x + 31 = - 4 x + 80

Move

31

to the right side

- x = - 4 x + 49

Move

4 x

to the left side

3 x = 49

Divide both sides by

3

x = \frac{49}{3}

f = 4 \cdot + 2

x, 5 x - 3 y = 19

x, (x + 2) 2 + (y - 5) 2 = 32

m, a = (m - 5) (m + 7) - (m - 6)^{2}

x, \frac{1}{2} x + 6 y = 12

What is the answer to ((x+4))/5-((x-3))/4 = 22/5-((x+2))/5 ?
The answer to ((x+4))/5-((x-3))/4 = 22/5-((x+2))/5 is x= 49/3
Solve for x: ((x+4))/5-((x-3))/4 = 22/5-((x+2))/5
The solution is x= 49/3