What is the answer to ((2z+7))/5-((3z+11))/2 =((2z+8))/3-5 ?

The answer to ((2z+7))/5-((3z+11))/2 =((2z+8))/3-5 is z=-1

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((2z+7))/5-((3z+11))/2 =((2z+8))/3-5

\frac{( 2 z + 7 )}{5} - \frac{( 3 z + 11 )}{2} = \frac{( 2 z + 8 )}{3} - 5

z = - 1

Solution steps

\frac{( 2 z + 7 )}{5} - \frac{( 3 z + 11 )}{2} = \frac{( 2 z + 8 )}{3} - 5

\frac{2 z + 7}{5} - \frac{3 z + 11}{2} = \frac{2 z + 8}{3} - 5

Multiply by LCM

6 (2 z + 7) - 15 (3 z + 11) = 10 (2 z + 8) - 150

Expand

6 (2 z + 7) - 15 (3 z + 11) : - 33 z - 123

Expand

10 (2 z + 8) - 150 : 20 z - 70

- 33 z - 123 = 20 z - 70

Move

123

to the right side

- 33 z = 20 z + 53

Move

20 z

to the left side

- 53 z = 53

Divide both sides by

- 53

z = - 1

x, (x - 10) = (y + 10)

x, - 3 x + 6 y - 39 = 0

x, h (- 2 x + 8) = - 12 x + 12

\frac{2 - x}{2} = 0

x, x + 5 + y + 5 = 3 x y

What is the answer to ((2z+7))/5-((3z+11))/2 =((2z+8))/3-5 ?
The answer to ((2z+7))/5-((3z+11))/2 =((2z+8))/3-5 is z=-1
Solve for z: ((2z+7))/5-((3z+11))/2 =((2z+8))/3-5
The solution is z=-1