Solve for z
z=11
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6\left(z-1\right)=5\left(z+1\right)
Multiply both sides of the equation by 60, the least common multiple of 10,12.
6z-6=5\left(z+1\right)
Use the distributive property to multiply 6 by z-1.
6z-6=5z+5
Use the distributive property to multiply 5 by z+1.
6z-6-5z=5
Subtract 5z from both sides.
z-6=5
Combine 6z and -5z to get z.
z=5+6
Add 6 to both sides.
z=11
Add 5 and 6 to get 11.
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