8z-17=5z-5

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Solution for 8z-17=5z-5 equation:


Simplifying
8z + -17 = 5z + -5

Reorder the terms:
-17 + 8z = 5z + -5

Reorder the terms:
-17 + 8z = -5 + 5z

Solving
-17 + 8z = -5 + 5z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-5z' to each side of the equation.
-17 + 8z + -5z = -5 + 5z + -5z

Combine like terms: 8z + -5z = 3z
-17 + 3z = -5 + 5z + -5z

Combine like terms: 5z + -5z = 0
-17 + 3z = -5 + 0
-17 + 3z = -5

Add '17' to each side of the equation.
-17 + 17 + 3z = -5 + 17

Combine like terms: -17 + 17 = 0
0 + 3z = -5 + 17
3z = -5 + 17

Combine like terms: -5 + 17 = 12
3z = 12

Divide each side by '3'.
z = 4

Simplifying
z = 4

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