What is the answer to ((3w-1))/5+1=((7w+2))/(15) ?

The answer to ((3w-1))/5+1=((7w+2))/(15) is w=-5

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((3w-1))/5+1=((7w+2))/(15)

\frac{( 3 w - 1 )}{5} + 1 = \frac{( 7 w + 2 )}{15}

w = - 5

Solution steps

\frac{( 3 w - 1 )}{5} + 1 = \frac{( 7 w + 2 )}{15}

\frac{3 w - 1}{5} + 1 = \frac{( 7 w + 2 )}{15}

Multiply by LCM

3 (3 w - 1) + 15 = 7 w + 2

Expand

3 (3 w - 1) + 15 : 9 w + 12

9 w + 12 = 7 w + 2

Move

12

to the right side

9 w = 7 w - 10

Move

7 w

to the left side

2 w = - 10

Divide both sides by

2

w = - 5

x, 4 x + 3 y + z = 15

\frac{n}{4} = \frac{8}{7}

x, y + 3 = - 2 (x - 4)

8 x + \frac{9}{3} = 55 + 6 x

4 (- 4 x - 7) = 11 x - 190

What is the answer to ((3w-1))/5+1=((7w+2))/(15) ?
The answer to ((3w-1))/5+1=((7w+2))/(15) is w=-5
Solve for w: ((3w-1))/5+1=((7w+2))/(15)
The solution is w=-5