5z-5=8z-17

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


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

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

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

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

Solving for variable 'z'.

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

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

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

Combine like terms: 8z + -8z = 0
-5 + -3z = -17 + 0
-5 + -3z = -17

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

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

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

Divide each side by '-3'.
z = 4

Simplifying
z = 4

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