What is the answer to solvefor x,(2x-1)/5+1=x-(y+7)/2 ?

The answer to solvefor x,(2x-1)/5+1=x-(y+7)/2 is x=-(-5y-43)/6

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solvefor x,(2x-1)/5+1=x-(y+7)/2

solve for

x, \frac{2 x - 1}{5} + 1 = x - \frac{y + 7}{2}

x = - \frac{- 5 y - 43}{6}

Solution steps

\frac{2 x - 1}{5} + 1 = x - \frac{y + 7}{2}

Move

1

to the right side

\frac{2 x - 1}{5} = x - \frac{y + 7}{2} - 1

Multiply both sides by

5

2 x - 1 = 5 x - \frac{5 ( y + 7 )}{2} - 5

Expand

5 x - \frac{5 ( y + 7 )}{2} - 5 : 5 x - \frac{5 y}{2} - \frac{35}{2} - 5

2 x - 1 = 5 x - \frac{5 y}{2} - \frac{35}{2} - 5

Move

1

to the right side

2 x = 5 x + \frac{- 5 y - 35}{2} - 4

Move

5 x

to the left side

- 3 x = \frac{- 5 y - 35}{2} - 4

Divide both sides by

- 3

x = - \frac{- 5 y - 43}{6}

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

x, - 4 x + 6 y = 15

x, - 5 x - 3 y = 16

\frac{2 x - 1}{3} - \frac{6 x - 2}{5} = \frac{1}{3}

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

What is the answer to solvefor x,(2x-1)/5+1=x-(y+7)/2 ?
The answer to solvefor x,(2x-1)/5+1=x-(y+7)/2 is x=-(-5y-43)/6