What is the answer to ((5W+7))/2-((W+4))/5 =1-((3-W))/4 ?

The answer to ((5W+7))/2-((W+4))/5 =1-((3-W))/4 is W=-49/41

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((5W+7))/2-((W+4))/5 =1-((3-W))/4

\frac{( 5 W + 7 )}{2} - \frac{( W + 4 )}{5} = 1 - \frac{( 3 - W )}{4}

W = - \frac{49}{41}

Decimal Notation

W = - 1.19512 \dots

Solution steps

\frac{( 5 W + 7 )}{2} - \frac{( W + 4 )}{5} = 1 - \frac{( 3 - W )}{4}

\frac{5 W + 7}{2} - \frac{W + 4}{5} = 1 - \frac{3 - W}{4}

Multiply by LCM

10 (5 W + 7) - 4 (W + 4) = 20 - 5 (- W + 3)

Expand

10 (5 W + 7) - 4 (W + 4) : 46 W + 54

Expand

20 - 5 (- W + 3) : 5 W + 5

46 W + 54 = 5 W + 5

Move

54

to the right side

46 W = 5 W - 49

Move

5 W

to the left side

41 W = - 49

Divide both sides by

41

W = - \frac{49}{41}

- 9 x + 8 + 7 x = - 6 x + 5 - 4 x

\frac{y}{2} - \frac{y - 4}{5} = \frac{23}{10}

7 b + 19 = - 2 (b - 7)

- \frac{- 7 + 97}{2} = \frac{7 - 97}{2}

x, f = m x - 12

What is the answer to ((5W+7))/2-((W+4))/5 =1-((3-W))/4 ?
The answer to ((5W+7))/2-((W+4))/5 =1-((3-W))/4 is W=-49/41
Solve for W: ((5W+7))/2-((W+4))/5 =1-((3-W))/4
The solution is W=-49/41